Converting 0.175 to a Fraction
Step-by-step explanation of how to convert 0.175 to a fraction

Result

0.175 =
7
40

Step 1: Identify the number of decimal places

The decimal 0.175 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

0.175 × 1000 = 175

Step 3: Write as a fraction

0.175 =

175
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 175 and 1000.

GCD(175, 1000) = 25

Divide both the numerator and denominator by the GCD:

175
1000

=

175 ÷ 25
1000 ÷ 25

=

7
40
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