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Converting 11.38 to a Fraction
Step-by-step explanation of how to convert 11.38 to a fraction

Result

11.38 =
569
50
Mixed number:
11
19
50

Step 1: Identify the number of decimal places

The decimal 11.38 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

11.38 × 100 = 1138

Step 3: Write as a fraction

11.38 =

1138
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1138 and 100.

GCD(1138, 100) = 2

Divide both the numerator and denominator by the GCD:

1138
100

=

1138 ÷ 2
100 ÷ 2

=

569
50
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