Solution: 55.58 as a fraction is 2779/50
Methods
Converting 55.58 to a fraction, Step-by-Step
Step 1:
The first step to converting 55.58 to a fraction is to re-write 55.58 in the form p/q where p and q both are positive integers. To start with, 55.58 can be written as simply 55.58/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 55.58, which in this case is 2. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 55.58/1 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 55.58/1 each by 100:
55.58
×
100
1
×
100
=
5558
100
\frac{55.58 × 100}{1 × 100} = \frac{5558}{100}
1 × 100 55.58 × 100 = 100 5558
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
5558
100
=
2779
50
\frac{5558}{100} = \frac{2779}{50}
100 5558 = 50 2779
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