Converting 2.65 to a Fraction
Step-by-step explanation of how to convert 2.65 to a fraction

Result

2.65 =
53
20
Mixed number:
2
13
20

Step 1: Identify the number of decimal places

The decimal 2.65 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

2.65 × 100 = 265

Step 3: Write as a fraction

2.65 =

265
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 265 and 100.

GCD(265, 100) = 5

Divide both the numerator and denominator by the GCD:

265
100

=

265 ÷ 5
100 ÷ 5

=

53
20
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