Converting 0.30972 to a Fraction
Step-by-step explanation of how to convert 0.30972 to a fraction

Result

0.30972 =
7743
25000

Step 1: Identify the number of decimal places

The decimal 0.30972 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.30972 × 100000 = 30972

Step 3: Write as a fraction

0.30972 =

30972
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 30972 and 100000.

GCD(30972, 100000) = 4

Divide both the numerator and denominator by the GCD:

30972
100000

=

30972 ÷ 4
100000 ÷ 4

=

7743
25000
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