Converting 46.687424 to a Fraction
Step-by-step explanation of how to convert 46.687424 to a fraction
Result
46.687424 =
729491
15625
Mixed number:
46
10741
15625
Step 1: Identify the number of decimal places
The decimal 46.687424 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
46.687424 × 1000000 = 46687424
Step 3: Write as a fraction
46.687424 =
46687424
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 46687424 and 1000000.
GCD(46687424, 1000000) = 64
Divide both the numerator and denominator by the GCD:
46687424
1000000
=
46687424 ÷ 64
1000000 ÷ 64
=
729491
15625
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