Converting 35.12 to a Fraction
Step-by-step explanation of how to convert 35.12 to a fraction

Result

35.12 =
878
25
Mixed number:
35
3
25

Step 1: Identify the number of decimal places

The decimal 35.12 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

35.12 × 100 = 3512

Step 3: Write as a fraction

35.12 =

3512
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3512 and 100.

GCD(3512, 100) = 4

Divide both the numerator and denominator by the GCD:

3512
100

=

3512 ÷ 4
100 ÷ 4

=

878
25
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