Converting 0.47712 to a Fraction
Step-by-step explanation of how to convert 0.47712 to a fraction

Result

0.47712 =
1491
3125

Step 1: Identify the number of decimal places

The decimal 0.47712 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.47712 × 100000 = 47712

Step 3: Write as a fraction

0.47712 =

47712
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 47712 and 100000.

GCD(47712, 100000) = 32

Divide both the numerator and denominator by the GCD:

47712
100000

=

47712 ÷ 32
100000 ÷ 32

=

1491
3125
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