Solution: 26.16 as a fraction is 654/25
Methods
Converting 26.16 to a fraction, Step-by-Step
Step 1:
The first step to converting 26.16 to a fraction is to re-write 26.16 in the form p/q where p and q are both positive integers. To start with, 26.16 can be written as simply 26.16/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 26.16, which in this case is 2. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 26.16/1 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 26.16/1 each by 100:
26.16
×
100
1
×
100
=
2616
100
\frac{26.16 × 100}{1 × 100} = \frac{2616}{100}
1 × 100 26.16 × 100 = 100 2616
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:
2616
100
=
654
25
\frac{2616}{100} = \frac{654}{25}
100 2616 = 25 654
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