Converting 11.51264 to a Fraction
Step-by-step explanation of how to convert 11.51264 to a fraction

Result

11.51264 =
35977
3125
Mixed number:
11
1602
3125

Step 1: Identify the number of decimal places

The decimal 11.51264 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

11.51264 × 100000 = 1151264

Step 3: Write as a fraction

11.51264 =

1151264
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1151264 and 100000.

GCD(1151264, 100000) = 32

Divide both the numerator and denominator by the GCD:

1151264
100000

=

1151264 ÷ 32
100000 ÷ 32

=

35977
3125
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