Math

QuestionCalculate the sum of 76\frac{7}{6} and 136\frac{13}{6}. What is the result?

Studdy Solution

STEP 1

Assumptions1. We are given two fractions 76\frac{7}{6} and 136\frac{13}{6}. . We need to add these two fractions.

STEP 2

In order to add fractions, the denominators must be the same. In this case, both fractions have the same denominator, which is6.

STEP 3

Now, we can add the two fractions by adding the numerators and keeping the denominator the same.
76+136=7+136\frac{7}{6} + \frac{13}{6} = \frac{7 +13}{6}

STEP 4

Add the numerators.
7+136=206\frac{7 +13}{6} = \frac{20}{6}

STEP 5

Now, we simplify the fraction by dividing the numerator and the denominator by their greatest common divisor, which is2.
20=20÷2÷2=103\frac{20}{} = \frac{20 \div2}{ \div2} = \frac{10}{3}

STEP 6

The fraction 103\frac{10}{3} can be written as a mixed number. A mixed number is a whole number and a proper fraction combined.
103=313\frac{10}{3} =3\frac{1}{3}The solution to the problem is 3133\frac{1}{3}.

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