Converting 4.964 to a Fraction
Step-by-step explanation of how to convert 4.964 to a fraction

Result

4.964 =
1241
250
Mixed number:
4
241
250

Step 1: Identify the number of decimal places

The decimal 4.964 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

4.964 × 1000 = 4964

Step 3: Write as a fraction

4.964 =

4964
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4964 and 1000.

GCD(4964, 1000) = 4

Divide both the numerator and denominator by the GCD:

4964
1000

=

4964 ÷ 4
1000 ÷ 4

=

1241
250
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