Converting 35.58 to a Fraction
Step-by-step explanation of how to convert 35.58 to a fraction

Result

35.58 =
1779
50
Mixed number:
35
29
50

Step 1: Identify the number of decimal places

The decimal 35.58 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

35.58 × 100 = 3558

Step 3: Write as a fraction

35.58 =

3558
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3558 and 100.

GCD(3558, 100) = 2

Divide both the numerator and denominator by the GCD:

3558
100

=

3558 ÷ 2
100 ÷ 2

=

1779
50
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