Converting 42.1416 to a Fraction
Step-by-step explanation of how to convert 42.1416 to a fraction
Result
42.1416 =
52677
1250
Mixed number:
42
177
1250
Step 1: Identify the number of decimal places
The decimal 42.1416 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
42.1416 × 10000 = 421416
Step 3: Write as a fraction
42.1416 =
421416
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 421416 and 10000.
GCD(421416, 10000) = 8
Divide both the numerator and denominator by the GCD:
421416
10000
=
421416 ÷ 8
10000 ÷ 8
=
52677
1250
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