Solution: 7.655 as a fraction is 1531/200
Methods
Converting 7.655 to a fraction, Step-by-Step
Step 1:
The first step to converting 7.655 to a fraction is to re-write 7.655 in the form p/q where p and q both are positive integers. To start with, 7.655 can be written as simply 7.655/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 7.655, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 7.655/1 each by 10 to the power of that many digits. For instance, for 0.45, there are 2 fractional digits so we would multiply by 100; or for 0.324, since there are 3 fractional digits, we would multiply by 1000. So, in this case, we will multiply the numerator and denominator of 7.655/1 each by 1000:
7.655
×
1000
1
×
1000
=
7655
1000
\frac{7.655 × 1000}{1 × 1000} = \frac{7655}{1000}
1 × 1000 7.655 × 1000 = 1000 7655
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
7655
1000
=
1531
200
\frac{7655}{1000} = \frac{1531}{200}
1000 7655 = 200 1531
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