Converting 2.6824 to a Fraction
Step-by-step explanation of how to convert 2.6824 to a fraction

Result

2.6824 =
3353
1250
Mixed number:
2
853
1250

Step 1: Identify the number of decimal places

The decimal 2.6824 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

2.6824 × 10000 = 26824

Step 3: Write as a fraction

2.6824 =

26824
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 26824 and 10000.

GCD(26824, 10000) = 8

Divide both the numerator and denominator by the GCD:

26824
10000

=

26824 ÷ 8
10000 ÷ 8

=

3353
1250
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