Converting 29.78952 to a Fraction
Step-by-step explanation of how to convert 29.78952 to a fraction

Result

29.78952 =
372369
12500
Mixed number:
29
9869
12500

Step 1: Identify the number of decimal places

The decimal 29.78952 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

29.78952 × 100000 = 2978952

Step 3: Write as a fraction

29.78952 =

2978952
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 2978952 and 100000.

GCD(2978952, 100000) = 8

Divide both the numerator and denominator by the GCD:

2978952
100000

=

2978952 ÷ 8
100000 ÷ 8

=

372369
12500
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