Converting 27.84 to a Fraction
Step-by-step explanation of how to convert 27.84 to a fraction

Result

27.84 =
696
25
Mixed number:
27
21
25

Step 1: Identify the number of decimal places

The decimal 27.84 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

27.84 × 100 = 2784

Step 3: Write as a fraction

27.84 =

2784
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 2784 and 100.

GCD(2784, 100) = 4

Divide both the numerator and denominator by the GCD:

2784
100

=

2784 ÷ 4
100 ÷ 4

=

696
25
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