Solution: 643.8 as a fraction is 3219/5
Methods
Converting 643.8 to a fraction, Step-by-Step
Step 1:
The first step to converting 643.8 to a fraction is to re-write 643.8 in the form p/q where p and q are both positive integers. To start with, 643.8 can be written as simply 643.8/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 643.8, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 643.8/1 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 643.8/1 each by 10:
643.8
×
10
1
×
10
=
6438
10
\frac{643.8 × 10}{1 × 10} = \frac{6438}{10}
1 × 10 643.8 × 10 = 10 6438
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out, which leads to the following answer:
6438
10
=
3219
5
\frac{6438}{10} = \frac{3219}{5}
10 6438 = 5 3219
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