Converting 10.768 to a Fraction
Step-by-step explanation of how to convert 10.768 to a fraction

Result

10.768 =
1346
125
Mixed number:
10
96
125

Step 1: Identify the number of decimal places

The decimal 10.768 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

10.768 × 1000 = 10768

Step 3: Write as a fraction

10.768 =

10768
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 10768 and 1000.

GCD(10768, 1000) = 8

Divide both the numerator and denominator by the GCD:

10768
1000

=

10768 ÷ 8
1000 ÷ 8

=

1346
125
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