Converting 4.2156 to a Fraction
Step-by-step explanation of how to convert 4.2156 to a fraction
Result
4.2156 =
10539
2500
Mixed number:
4
539
2500
Step 1: Identify the number of decimal places
The decimal 4.2156 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
4.2156 × 10000 = 42156
Step 3: Write as a fraction
4.2156 =
42156
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 42156 and 10000.
GCD(42156, 10000) = 4
Divide both the numerator and denominator by the GCD:
42156
10000
=
42156 ÷ 4
10000 ÷ 4
=
10539
2500
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