Converting 15.5625 to a Fraction
Step-by-step explanation of how to convert 15.5625 to a fraction
Result
15.5625 =
249
16
Mixed number:
15
9
16
Step 1: Identify the number of decimal places
The decimal 15.5625 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
15.5625 × 10000 = 155625
Step 3: Write as a fraction
15.5625 =
155625
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 155625 and 10000.
GCD(155625, 10000) = 625
Divide both the numerator and denominator by the GCD:
155625
10000
=
155625 ÷ 625
10000 ÷ 625
=
249
16
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