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We are asked to write 8 13 % as a fraction in simplest form. To write the percent as a fraction, we can write the number part as a numerator over 100.
8 13 %=8 13/100
Notice that we got a fraction with a numerator that is a mixed number. This means that it is a complex fraction. Recall that complex fractions can be simplified to the form when both the numerator and denominator are integers. Let's start simplifying by writing the complex fraction as a division problem.
8 13/100 = 8 13 ÷ 100
We found that 8 13 is equal to 253. 8 13 ÷ 100 = 253 ÷ 100 Now we will write the division by 100 as multiplication by the reciprocal of 100, which is 1100. 253 ÷ 100 = 253 * 1100 Let's perform the multiplication to get 8 13 % as a fraction. Then we will reduce the fraction to simplest form.
Multiply fractions
Multiply
a/b=.a /25./.b /25.
Calculate quotient
Finally, we got that 8 13 % written as a fraction in simplest form is 112.