Converting 47.406784 to a Fraction
Step-by-step explanation of how to convert 47.406784 to a fraction

Result

47.406784 =
740731
15625
Mixed number:
47
6356
15625

Step 1: Identify the number of decimal places

The decimal 47.406784 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

47.406784 × 1000000 = 47406784

Step 3: Write as a fraction

47.406784 =

47406784
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 47406784 and 1000000.

GCD(47406784, 1000000) = 64

Divide both the numerator and denominator by the GCD:

47406784
1000000

=

47406784 ÷ 64
1000000 ÷ 64

=

740731
15625
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