Converting 24.4375 to a Fraction
Step-by-step explanation of how to convert 24.4375 to a fraction

Result

24.4375 =
391
16
Mixed number:
24
7
16

Step 1: Identify the number of decimal places

The decimal 24.4375 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

24.4375 × 10000 = 244375

Step 3: Write as a fraction

24.4375 =

244375
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 244375 and 10000.

GCD(244375, 10000) = 625

Divide both the numerator and denominator by the GCD:

244375
10000

=

244375 ÷ 625
10000 ÷ 625

=

391
16
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