Converting 13.4628 to a Fraction
Step-by-step explanation of how to convert 13.4628 to a fraction

Result

13.4628 =
33657
2500
Mixed number:
13
1157
2500

Step 1: Identify the number of decimal places

The decimal 13.4628 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

13.4628 × 10000 = 134628

Step 3: Write as a fraction

13.4628 =

134628
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 134628 and 10000.

GCD(134628, 10000) = 4

Divide both the numerator and denominator by the GCD:

134628
10000

=

134628 ÷ 4
10000 ÷ 4

=

33657
2500
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