Converting 46.948 to a Fraction
Step-by-step explanation of how to convert 46.948 to a fraction

Result

46.948 =
11737
250
Mixed number:
46
237
250

Step 1: Identify the number of decimal places

The decimal 46.948 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

46.948 × 1000 = 46948

Step 3: Write as a fraction

46.948 =

46948
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 46948 and 1000.

GCD(46948, 1000) = 4

Divide both the numerator and denominator by the GCD:

46948
1000

=

46948 ÷ 4
1000 ÷ 4

=

11737
250
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