Converting 7.45 to a Fraction
Step-by-step explanation of how to convert 7.45 to a fraction

Result

7.45 =
149
20
Mixed number:
7
9
20

Step 1: Identify the number of decimal places

The decimal 7.45 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

7.45 × 100 = 745

Step 3: Write as a fraction

7.45 =

745
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 745 and 100.

GCD(745, 100) = 5

Divide both the numerator and denominator by the GCD:

745
100

=

745 ÷ 5
100 ÷ 5

=

149
20
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