0.175 as a fraction

Hey there, math explorers! Today, we’re going to learn how to turn the decimal 0.175 into a fraction. Don’t worry – it’s super easy once you break it down. Let’s go step by step!

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