Converting 7.724376 to a Fraction
Step-by-step explanation of how to convert 7.724376 to a fraction

Result

7.724376 =
965547
125000
Mixed number:
7
90547
125000

Step 1: Identify the number of decimal places

The decimal 7.724376 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

7.724376 × 1000000 = 7724376

Step 3: Write as a fraction

7.724376 =

7724376
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 7724376 and 1000000.

GCD(7724376, 1000000) = 8

Divide both the numerator and denominator by the GCD:

7724376
1000000

=

7724376 ÷ 8
1000000 ÷ 8

=

965547
125000
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