Converting 13.4375 to a Fraction
Step-by-step explanation of how to convert 13.4375 to a fraction

Result

13.4375 =
215
16
Mixed number:
13
7
16

Step 1: Identify the number of decimal places

The decimal 13.4375 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

13.4375 × 10000 = 134375

Step 3: Write as a fraction

13.4375 =

134375
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 134375 and 10000.

GCD(134375, 10000) = 625

Divide both the numerator and denominator by the GCD:

134375
10000

=

134375 ÷ 625
10000 ÷ 625

=

215
16
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