Converting 7.70205 to a Fraction
Step-by-step explanation of how to convert 7.70205 to a fraction

Result

7.70205 =
154041
20000
Mixed number:
7
14041
20000

Step 1: Identify the number of decimal places

The decimal 7.70205 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

7.70205 × 100000 = 770205

Step 3: Write as a fraction

7.70205 =

770205
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 770205 and 100000.

GCD(770205, 100000) = 5

Divide both the numerator and denominator by the GCD:

770205
100000

=

770205 ÷ 5
100000 ÷ 5

=

154041
20000
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