Converting 7.82048 to a Fraction
Step-by-step explanation of how to convert 7.82048 to a fraction

Result

7.82048 =
24439
3125
Mixed number:
7
2564
3125

Step 1: Identify the number of decimal places

The decimal 7.82048 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

7.82048 × 100000 = 782048

Step 3: Write as a fraction

7.82048 =

782048
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 782048 and 100000.

GCD(782048, 100000) = 32

Divide both the numerator and denominator by the GCD:

782048
100000

=

782048 ÷ 32
100000 ÷ 32

=

24439
3125
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