Solution: 296.8 as a fraction is 1484/5
Methods
Converting 296.8 to a fraction, Step-by-Step
Step 1:
The first step to converting 296.8 to a fraction is to re-write 296.8 in the form p/q where p and q both are positive integers. To start with, 296.8 can be written as simply 296.8/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 296.8, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 296.8/1 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 296.8/1 each by 10:
296.8
×
10
1
×
10
=
2968
10
\frac{296.8 × 10}{1 × 10} = \frac{2968}{10}
1 × 10 296.8 × 10 = 10 2968
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
2968
10
=
1484
5
\frac{2968}{10} = \frac{1484}{5}
10 2968 = 5 1484
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