a)b)c)d)e)Correct answer is option 'C'. Can you explain this answer?
= we know,
(4-3+13-8)+(1/2 - 1/7 + 2/7 -1/4)
= 6 + 11/28

= option C
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a)b)c)d)e)Correct answer is option 'C'. Can you explain this answer?
9/2-22/7+93/7-33/4 (converting mixed to Normal Fraction)
(18-33)/4+(93-22)/7
-15/4+71/7
(-105+284)/28
179/28
6(11/28)
a)b)c)d)e)Correct answer is option 'C'. Can you explain this answer?
Step 1: Convert Mixed Numbers to Improper Fractions
- 4 1/2 = (4 * 2 + 1)/2 = 9/2
- 3 1/7 = (3 * 7 + 1)/7 = 22/7
- 13 2/7 = (13 * 7 + 2)/7 = 93/7
- 8 1/4 = (8 * 4 + 1)/4 = 33/4
Step 2: Find a Common Denominator
- The denominators are 2, 7, and 4. The least common multiple of these numbers is 28.
Step 3: Convert Each Fraction to Have a Denominator of 28
- 9/2 = (9 * 14)/(2 * 14) = 126/28
- 22/7 = (22 * 4)/(7 * 4) = 88/28
- 93/7 = (93 * 4)/(7 * 4) = 372/28
- 33/4 = (33 * 7)/(4 * 7) = 231/28
Step 4: Substitute and Simplify
Now substitute the converted fractions into the equation:
- 126/28 - 88/28 + 372/28 - 231/28
Combine the fractions:
- (126 - 88 + 372 - 231)/28 = (126 - 88 + 372 - 231)/28
- = (126 - 88) + (372 - 231)/28
- = 38 + 141/28
Combine the results:
- = (38 + 141)/28 = 179/28
Step 5: Convert Back to Mixed Number
- 179/28 = 6 11/28
Thus, the final answer is:
Answer: 6 11/28
Therefore, the correct option is (c) 6 11/28.