Converting 11.738376 to a Fraction
Step-by-step explanation of how to convert 11.738376 to a fraction

Result

11.738376 =
1467297
125000
Mixed number:
11
92297
125000

Step 1: Identify the number of decimal places

The decimal 11.738376 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

11.738376 × 1000000 = 11738376

Step 3: Write as a fraction

11.738376 =

11738376
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 11738376 and 1000000.

GCD(11738376, 1000000) = 8

Divide both the numerator and denominator by the GCD:

11738376
1000000

=

11738376 ÷ 8
1000000 ÷ 8

=

1467297
125000
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