Converting 15.2264 to a Fraction
Step-by-step explanation of how to convert 15.2264 to a fraction
Result
15.2264 =
19033
1250
Mixed number:
15
283
1250
Step 1: Identify the number of decimal places
The decimal 15.2264 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
15.2264 × 10000 = 152264
Step 3: Write as a fraction
15.2264 =
152264
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 152264 and 10000.
GCD(152264, 10000) = 8
Divide both the numerator and denominator by the GCD:
152264
10000
=
152264 ÷ 8
10000 ÷ 8
=
19033
1250
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