Converting 0.742656 to a Fraction
Step-by-step explanation of how to convert 0.742656 to a fraction

Result

0.742656 =
11604
15625

Step 1: Identify the number of decimal places

The decimal 0.742656 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.742656 × 1000000 = 742656

Step 3: Write as a fraction

0.742656 =

742656
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 742656 and 1000000.

GCD(742656, 1000000) = 64

Divide both the numerator and denominator by the GCD:

742656
1000000

=

742656 ÷ 64
1000000 ÷ 64

=

11604
15625
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