Question

Simplify:4 2/3 +3 1/4 + 7 1/2

Answer 1

Step-by-step explanation:

Given:

$4 \frac{2}{3} + 3 \frac{1}{4} +7 \frac{1}{2}$

To find: Solve the addition.

Solution:

Step 1: Convert mixed fraction into improper fraction

$\frac{(4 \times 3) + 2}{3} + \frac{(3 \times 4) + 1}{4} +\frac{(7 \times 2) + 1}{2}$

or

$\frac{12 + 2}{3} + \frac{12 + 1}{4} + \frac{14 + 1}{2}$

or

$\frac{14}{3} + \frac{13}{4} +\frac{15}{2}$

Step 2: To add; take LCM of 3,4 and 2

LCM(3,4,2)=12

$\frac{14 \times 4 + 13 \times 3+15\times6}{12}$

or

$\frac{56 + 39+90}{12}$

or

$\frac{185}{12}$

Step 3: Convert improper fraction into mixed

12)185(15

12

______

65

60

______

5

______

Thus,

$15\frac{5}{12}$

Final answer:

Addition of given fractions are $\frac{185}{12}$ or $15 \frac{5}{12}$ in mixed fraction.

Hope it helps you.

To learn more on brainly:

Change into improper fraction 3 1/4

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4 2/3 + 3 1/4

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