Converting 10.9524 to a Fraction
Step-by-step explanation of how to convert 10.9524 to a fraction

Result

10.9524 =
27381
2500
Mixed number:
10
2381
2500

Step 1: Identify the number of decimal places

The decimal 10.9524 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

10.9524 × 10000 = 109524

Step 3: Write as a fraction

10.9524 =

109524
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 109524 and 10000.

GCD(109524, 10000) = 4

Divide both the numerator and denominator by the GCD:

109524
10000

=

109524 ÷ 4
10000 ÷ 4

=

27381
2500
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