MATH SOLVE

3 months ago

Q:
# What is 21.89 as a fraction?

Accepted Solution

A:

Solution: 21.89 as a fraction is 2189/100
Methods
Converting 21.89 to a fraction, Step-by-Step
Step 1:
The first step to converting 21.89 to a fraction is to re-write 21.89 in the form p/q where p and q are both positive integers. To start with, 21.89 can be written as simply 21.89/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 21.89, which in this case is 2. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 21.89/1 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 21.89/1 each by 100:
21.89
Γ
100
1
Γ
100
=
2189
100
\frac{21.89 Γ 100}{1 Γ 100} = \frac{2189}{100}
1 Γ 100 21.89 Γ 100 β = 100 2189 β
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:
2189
100
=
2189
100
\frac{2189}{100} = \frac{2189}{100}
100 2189 β = 100 2189 β
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