What is the value of 51/2+73/7+83/8?

Correct Answer is : 1193/561193/561193/56

Correct Answer is : 1193/561193/561193/56

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AP TET Paper 1 Model Test 4

Question : 111 of 150

Marks: +1, -0

5\frac{1}{2}+7\frac{3}{7}+8\frac{3}{8}?

Solution:

Concept:

Convert each mixed fraction to an improper fraction, then add them using a common denominator.

Explanation:

First, rewrite the mixed numbers:

5\frac{1}{2} = \frac{11}{2}

7\frac{3}{7} = \frac{52}{7}

8\frac{3}{8} = \frac{67}{8}

Find the least common multiple (LCM) of denominators 2, 7, and 8. LCM = 56.

Convert each fraction to denominator 56:

\frac{11}{2} = \frac{11 \times 28}{56} = \frac{308}{56}

\frac{52}{7} = \frac{52 \times 8}{56} = \frac{416}{56}

\frac{67}{8} = \frac{67 \times 7}{56} = \frac{469}{56}

Add the numerators:

308 + 416 + 469 = 1193

So the sum is

\frac{1193}{56}

Answer:

Option A:

1193/56

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