Converting 7.1382 to a Fraction
Step-by-step explanation of how to convert 7.1382 to a fraction

Result

7.1382 =
35691
5000
Mixed number:
7
691
5000

Step 1: Identify the number of decimal places

The decimal 7.1382 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

7.1382 × 10000 = 71382

Step 3: Write as a fraction

7.1382 =

71382
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 71382 and 10000.

GCD(71382, 10000) = 2

Divide both the numerator and denominator by the GCD:

71382
10000

=

71382 ÷ 2
10000 ÷ 2

=

35691
5000
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