Converting 0.3078 to a Fraction
Step-by-step explanation of how to convert 0.3078 to a fraction

Result

0.3078 =
1539
5000

Step 1: Identify the number of decimal places

The decimal 0.3078 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.3078 × 10000 = 3078

Step 3: Write as a fraction

0.3078 =

3078
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3078 and 10000.

GCD(3078, 10000) = 2

Divide both the numerator and denominator by the GCD:

3078
10000

=

3078 ÷ 2
10000 ÷ 2

=

1539
5000
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