Converting 7.735624 to a Fraction
Step-by-step explanation of how to convert 7.735624 to a fraction

Result

7.735624 =
966953
125000
Mixed number:
7
91953
125000

Step 1: Identify the number of decimal places

The decimal 7.735624 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

7.735624 × 1000000 = 7735624

Step 3: Write as a fraction

7.735624 =

7735624
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 7735624 and 1000000.

GCD(7735624, 1000000) = 8

Divide both the numerator and denominator by the GCD:

7735624
1000000

=

7735624 ÷ 8
1000000 ÷ 8

=

966953
125000
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