Converting 7.858 to a Fraction
Step-by-step explanation of how to convert 7.858 to a fraction

Result

7.858 =
3929
500
Mixed number:
7
429
500

Step 1: Identify the number of decimal places

The decimal 7.858 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

7.858 × 1000 = 7858

Step 3: Write as a fraction

7.858 =

7858
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 7858 and 1000.

GCD(7858, 1000) = 2

Divide both the numerator and denominator by the GCD:

7858
1000

=

7858 ÷ 2
1000 ÷ 2

=

3929
500
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