Question

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Answer 1

Question:

To Find which of following sums is closer to $\frac{1}{2}$

• $\frac{2}{15}+\frac{1}{3}$

• $\frac{6}{7}-\frac{1}{3}$

Solution:

1st part of the question:

$\frac{2}{15}+\frac{1}{3}\\\\\\\textsf{LCM=15}\\\\\\\frac{2}{15}\times\frac{1}{1}+\frac{1}{3}\times \frac{5}{5}\\\\\\\frac{2}{15}+\frac{5}{15}\\\\\\\frac{2+5}{15}\\\\\\\frac{7}{15}$

2nd part of the question:

$\frac{6}{7}-\frac{1}{3}\\\\\\\textsf{LCM=21}\\\\\\\frac{6}{7}\times\frac{3}{3}-\frac{1}{3}\times\frac{7}{7}\\\\\\\frac{18}{21}- \frac{7}{21}\\\\\\\frac{18-7}{21}\\\\\\\frac{11}{21}$

Comparing both:

$\frac{7}{15}\\\\\\=\frac{1}{2.1}\\\\\\\frac{11}{21}\\\\\\=\frac{1}{1.9}$

Answer:

Therefore A is the correct option

Answer 2

Answer:

Question: To Find which of following sums is closer to 2 15 1 3 - Solution: 1st part of the question: 1 15 3 1/2 H/3

LCM=15 1 1 5 - 15 15 15 2 +5 15

715 2nd part of the question: 6 1 | 7 3 LCM=21 6 3 1 7 - 7 3 3 718 7 21 21 18 – 7 21 11 21 Comparing both:7 15 21 2.1 11 21 1 1.9

Step-by-step explanation:

Answer: Therefore A is the correct option