Converting 47.76 to a Fraction
Step-by-step explanation of how to convert 47.76 to a fraction

Result

47.76 =
1194
25
Mixed number:
47
19
25

Step 1: Identify the number of decimal places

The decimal 47.76 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

47.76 × 100 = 4776

Step 3: Write as a fraction

47.76 =

4776
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4776 and 100.

GCD(4776, 100) = 4

Divide both the numerator and denominator by the GCD:

4776
100

=

4776 ÷ 4
100 ÷ 4

=

1194
25
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