Step 1: Understand Place Value

The number 0.175 has three digits after the decimal point:

1 is in the tenths place (1/10)

7 is in the hundredths place (7/100)

5 is in the thousandths place (5/1000)

So, we can write it as:

But there’s an easier way!

Step 2: Write It as a Fraction Over 1000

Since the last digit (5) is in the thousandths place, we can write:

Step 3: Simplify the Fraction

Now, let’s make 175/1000 as simple as possible. We do this by finding the Greatest Common Divisor (GCD) of 175 and 1000.

Factors of 175: 1, 5, 7, 25, 35, 175

Factors of 1000: 1, 2, 4, 5, 8,10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000

The biggest number that divides both is 25.

Now, divide numerator and denominator by 25.

Final Answer:

what is equal to 0.175

0.175 is equal to the fraction 7/40

Decimal to Fraction Chart

Step 1: Understand the Fraction

7/8 means 7 divided by 8.

Step 2: Set Up the Division

Set up the division problem with 7 as the dividend and 8 as the divisor.

Step 3: Divide

Since 7 is less than 8, you need to add a decimal point to the 7 (making it 7.0) to continue the division.

Now, consider it as 70 divided by 8. 8 goes into 70 eight times (64), and you subtract the product from 70, leaving a remainder of 6 (70 – 64 = 6).

Step 4: Bring Down Another Zero

You bring down another zero to the remainder, making it 60, and divide by 8 again.

8 goes into 60 seven times (56), and you subtract the product from 60, leaving a remainder of 4 (60 – 56 = 4).

Step 5: Bring Down Yet Another Zero

Repeat the process: bring down another zero to the remainder, making it 40, and divide by 8.

8 goes into 40 exactly five times (40), and you subtract the product from 40, leaving no remainder.

Step 6: Write the Decimal

The decimal representation of 7/8 is 0.875.



Step 1: Understand the Fraction

2/3 means 2 divided by 3.

Step 2: Set Up the Division

You set up the division with 2 as the dividend (the number being divided) and 3 as the divisor (the number you are dividing by).

Step 3: Divide

Since 2 is less than 3, you cannot divide it as it is. You add a decimal point to the 2 and bring down a zero, making it 20.

3 goes into 20 six times (18), and you subtract the product from 20, leaving a remainder of 2 (20 – 18 = 2).

Step 4: Repeat the Process

You once again bring down a zero to the remainder, making it 20, and divide by 3.
This process continues with the digit 6 repeating.

Step 5: Recognize the Pattern

Since you are always left with a remainder of 2, the division will result in the digit 6 repeating indefinitely.

Step 6: Write the Decimal

The decimal representation of 2/3 is 0.666…, which can be written with a bar notation as 0.\overline{6} to indicate that the 6 is repeating.

Step 1: Understand the Fraction

1/3 means 1 divided by 3.

Step 2: Set Up the Division

Set up the division with 1 as the dividend and 3 as the divisor.

Step 3: Divide

1 is less than 3, so you can’t divide it as is. You add a decimal point to the 1 and bring down a zero, making it 10.
3 goes into 10 three times (9), and you subtract the product (10 – 9 = 1).

Step 4: Repeat

Because you have a remainder, bring down another zero and divide again. 3 goes into 10 three times, and you subtract the product (10 – 9 = 1).

This process repeats indefinitely because each time you will have a remainder of 1.

Step 5: Recognize the Pattern

Since the remainder repeats, the division will result in the digit 3 repeating endlessly.

Step 6: Write the Decimal

The decimal representation of 1/3 is 0.333…, which can be written with a bar notation as 0.\overline{3} to indicate that the 3 is repeating.

Step 1: Understand the Fraction

1/8 is a fraction that means 1 divided by 8.

Step 2: Set Up the Division

You set up the division problem with 1 as the dividend (the number being divided) and 8 as the divisor (the number you are dividing by).

Step 3: Divide

Since 1 is less than 8, you cannot divide it as it is. You need to add a decimal point to the dividend (1.) and add a zero, making it 10 when you bring it down.
Now, you divide 10 by 8. 8 goes into 10 once (8), and you subtract to find the remainder (10 – 8 = 2).

Step 4: Add Another Zero

Bring down another zero and divide 20 by 8. 8 goes into 20 twice (16), and again you subtract to find the remainder (20 – 16 = 4).

Step 5: Repeat as Necessary

Continue this process until you either get a remainder of 0 or until you recognize a repeating pattern. Bringing down another zero to the remainder of 4 and dividing 40 by 8 gives you 5 with no remainder.

Step 6: Write the Decimal

The decimal representation of 1/8 is 0.125.

Answer: 4/7 is 0.571 as a decimal.

4/7 = 0.571

How to Convert 4/7 as a Decimal

Long division is used to divide a fraction’s numerator and a fraction’s denominator.

Calculate 4/7 using a long division of 5 divided with 8:

7 |  4  | 0.571
      0
  ------
     40
     35
   -------
      50
      49
    -------
       10
        7
    --------
        3

Therefore, 4/7 is 0.571 as a decimal.

Answer: 3/4 is 0.75 as a decimal.

3/4 = 0.75

How to Convert 3/4 as a Decimal

Long division is used to divide a fraction’s numerator and a fraction’s denominator.

Calculate 3/4 using a long division of 5 divided by 8:

4 |  3  | 0.75
      0
  ------
     30
     28
   -------
      20
      20
    -------
       0

Therefore, 3/4 is 0.75 as a decimal.

How to Convert 1/5 as a Decimal

1/5 is expanded to 20/100 by multiplying the numerator by 20 and the denominator by 20.

  1           1 x  20             20
 ----  =   ----------  =  -------  = 0.2 
  5           5 x  20            100

Fraction to Decimal Method 2

Use log division to divide the fraction’s numerator by the fraction’s denominator.

Calculate 1/5 by a long division of 1 divided by 2:

5 |  10  | 0.2
     10 
    -----
      0

Therefore, 1/5 is 0.2 as a decimal.

A decimal number is a number whose fractional and whole numbers are separated by a decimal.

What are a 2/5 as a Decimal

Answer: 2/5 is 0.4 as a decimal.

How to Convert 2/5 as a Decimal

Long division is used to divide fraction’s numerator and fraction’s denominator.

Calculate 2/5 using long division of 5 divided with 8:

5 |  2  | 0.4
      0
  ------
     20
     20
   -------
      0

Therefore, 2/5 is 0.4 as a decimal.

Method 2

The complete instructions on how to convert the fraction 2/5 to its decimal counterpart are provided in the work with steps that follow.

Observe the results after addressing the input parameters:

2/5 is the fraction.

Find the fraction 2/5’s decimal expansion.

Find the number of 10s that should be multiplied by the numerator and denominator of the fraction 2/5 since the numerator is smaller than the denominator. Multiply 10 with a numerator and denominator of 2/5 because the number of digits in both the numerator and the denominator are identical.

    2       10
=--- x -----
    5       10

Adjust the fraction as shown below:

   10 x 2      1
 = ------ x ----
      5         10

     20        1
 = ---- x  ----
      5        10

Simplify even further the previous phrase:

     20     1
= ---- x ----
      5     10
           1
= 4 x ----
          10
     4
= ----
    10

= 0.4

Thus, 2/5 equals 0.4 in decimal form.

The decimal number can be converted to a fraction by being multiplied by a power of ten before being used in the conversion. Due to the fact that there are 2 digits to the right of the decimal point, the decimal number should be placed over 10² (100). The following step is to add the entire number to the position left of the decimal point.

                               175
As a result, 1.75 = ------
                               100

Now, if we divide each of these numbers by the same factor of 25, we will get the following:

175      7
---- = ----
100      4

Therefore, the equivalent fraction of 1.75 is 7/4.

How to convert 1.75 to fraction

First, write 1.75 as p/q, where p and q are positive integers. 1.75 as a fraction is 1.75/1.

Next, we count 1.75’s fractional digits, which is 2. Multiply the numerator and denominator of 1.75/1 by 10 to that many digits. For 0.45, we multiply by 100; for 0.324, we multiply by 1000. In this scenario, multiply 1.75/1 by 100:

 1.75 x 100       175
------------  = ------
 1 x 100           100

If possible, simplify the fraction by cancelling out related elements.

175       7
----- = ---
100       4