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Converting 45.46 to a Fraction
Step-by-step explanation of how to convert 45.46 to a fraction

Result

45.46 =
2273
50
Mixed number:
45
23
50

Step 1: Identify the number of decimal places

The decimal 45.46 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

45.46 × 100 = 4546

Step 3: Write as a fraction

45.46 =

4546
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4546 and 100.

GCD(4546, 100) = 2

Divide both the numerator and denominator by the GCD:

4546
100

=

4546 ÷ 2
100 ÷ 2

=

2273
50
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