Converting 2.768 to a Fraction
Step-by-step explanation of how to convert 2.768 to a fraction

Result

2.768 =
346
125
Mixed number:
2
96
125

Step 1: Identify the number of decimal places

The decimal 2.768 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

2.768 × 1000 = 2768

Step 3: Write as a fraction

2.768 =

2768
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 2768 and 1000.

GCD(2768, 1000) = 8

Divide both the numerator and denominator by the GCD:

2768
1000

=

2768 ÷ 8
1000 ÷ 8

=

346
125
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