Converting 30.964 to a Fraction
Step-by-step explanation of how to convert 30.964 to a fraction

Result

30.964 =
7741
250
Mixed number:
30
241
250

Step 1: Identify the number of decimal places

The decimal 30.964 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

30.964 × 1000 = 30964

Step 3: Write as a fraction

30.964 =

30964
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 30964 and 1000.

GCD(30964, 1000) = 4

Divide both the numerator and denominator by the GCD:

30964
1000

=

30964 ÷ 4
1000 ÷ 4

=

7741
250
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