MATH SOLVE

3 months ago

Q:
# What is 99.98 as a fraction?

Accepted Solution

A:

Solution: 99.98 as a fraction is 4999/50
Methods
Converting 99.98 to a fraction, Step-by-Step
Step 1:
The first step to converting 99.98 to a fraction is to re-write 99.98 in the form p/q where p and q are both positive integers. To start with, 99.98 can be written as simply 99.98/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 99.98, which in this case is 2. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 99.98/1 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 99.98/1 each by 100:
99.98
×
100
1
×
100
=
9998
100
\frac{99.98 × 100}{1 × 100} = \frac{9998}{100}
1 × 100 99.98 × 100 = 100 9998
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:
9998
100
=
4999
50
\frac{9998}{100} = \frac{4999}{50}
100 9998 = 50 4999
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