Solution: 228.2 as a fraction is 1141/5
Methods
Converting 228.2 to a fraction, Step-by-Step
Step 1:
The first step to converting 228.2 to a fraction is to re-write 228.2 in the form p/q where p and q are both positive integers. To start with, 228.2 can be written as simply 228.2/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 228.2, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 228.2/1 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 228.2/1 each by 10:
228.2
×
10
1
×
10
=
2282
10
\frac{228.2 × 10}{1 × 10} = \frac{2282}{10}
1 × 10 228.2 × 10 = 10 2282
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:
2282
10
=
1141
5
\frac{2282}{10} = \frac{1141}{5}
10 2282 = 5 1141
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