Converting 3.1378 to a Fraction
Step-by-step explanation of how to convert 3.1378 to a fraction

Result

3.1378 =
15689
5000
Mixed number:
3
689
5000

Step 1: Identify the number of decimal places

The decimal 3.1378 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

3.1378 × 10000 = 31378

Step 3: Write as a fraction

3.1378 =

31378
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 31378 and 10000.

GCD(31378, 10000) = 2

Divide both the numerator and denominator by the GCD:

31378
10000

=

31378 ÷ 2
10000 ÷ 2

=

15689
5000
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