Converting 36.58 to a Fraction
Step-by-step explanation of how to convert 36.58 to a fraction

Result

36.58 =
1829
50
Mixed number:
36
29
50

Step 1: Identify the number of decimal places

The decimal 36.58 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

36.58 × 100 = 3658

Step 3: Write as a fraction

36.58 =

3658
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3658 and 100.

GCD(3658, 100) = 2

Divide both the numerator and denominator by the GCD:

3658
100

=

3658 ÷ 2
100 ÷ 2

=

1829
50
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