Converting 29.7256 to a Fraction
Step-by-step explanation of how to convert 29.7256 to a fraction

Result

29.7256 =
37157
1250
Mixed number:
29
907
1250

Step 1: Identify the number of decimal places

The decimal 29.7256 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

29.7256 × 10000 = 297256

Step 3: Write as a fraction

29.7256 =

297256
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 297256 and 10000.

GCD(297256, 10000) = 8

Divide both the numerator and denominator by the GCD:

297256
10000

=

297256 ÷ 8
10000 ÷ 8

=

37157
1250
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