Solution: 474.4 as a fraction is 2372/5
Methods
Converting 474.4 to a fraction, Step-by-Step
Step 1:
The first step to converting 474.4 to a fraction is to re-write 474.4 in the form p/q where p and q are both positive integers. To start with, 474.4 can be written as simply 474.4/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 474.4, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 474.4/1 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 474.4/1 each by 10:
474.4
×
10
1
×
10
=
4744
10
\frac{474.4 × 10}{1 × 10} = \frac{4744}{10}
1 × 10 474.4 × 10 = 10 4744
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:
4744
10
=
2372
5
\frac{4744}{10} = \frac{2372}{5}
10 4744 = 5 2372
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