Math

QuestionCalculate 59+12\frac{5}{9}+\frac{1}{2}.

Studdy Solution

STEP 1

Assumptions1. We are adding two fractions 59\frac{5}{9} and 1\frac{1}{}. . The fractions are not in the same denominator, so we need to find a common denominator before we can add them.

STEP 2

To add fractions, we need to have a common denominator. The common denominator is the least common multiple (LCM) of the two denominators.

STEP 3

Find the least common multiple (LCM) of9 and2.The LCM of9 and2 is18 because18 is the smallest number that both9 and2 can divide into evenly.

STEP 4

Now that we have the common denominator, we can rewrite both fractions with this new denominator.
The first fraction 9\frac{}{9} becomes 9×22=1018\frac{}{9} \times \frac{2}{2} = \frac{10}{18}.
The second fraction 12\frac{1}{2} becomes 12×99=918\frac{1}{2} \times \frac{9}{9} = \frac{9}{18}.

STEP 5

Now we can add the two fractions together since they have the same denominator.
1018+918=10+918\frac{10}{18} + \frac{9}{18} = \frac{10+9}{18}

STEP 6

Perform the addition in the numerator.
10+918=1918\frac{10+9}{18} = \frac{19}{18}The sum of 59\frac{5}{9} and 12\frac{1}{2} is 1918\frac{19}{18}.

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