Converting 37.21152 to a Fraction
Step-by-step explanation of how to convert 37.21152 to a fraction

Result

37.21152 =
116286
3125
Mixed number:
37
661
3125

Step 1: Identify the number of decimal places

The decimal 37.21152 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

37.21152 × 100000 = 3721152

Step 3: Write as a fraction

37.21152 =

3721152
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3721152 and 100000.

GCD(3721152, 100000) = 32

Divide both the numerator and denominator by the GCD:

3721152
100000

=

3721152 ÷ 32
100000 ÷ 32

=

116286
3125
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