Jackson played a video game for 1/6 hour. Bailey played a video game for 1/3 hour. Who played the video game for greater amount
1 answer:
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Answer:
The numerator is 57 ⇒ B
The denominator is 78 ⇒ B
The value of the fraction is 73.1% ⇒ A
Step-by-step explanation:
Let us solve it step by step
∵ The loan is 12 month
∵ The numerator is after 6 month
- Put n = 1 in each bracket
∴ The numerator = {(1 + 11) + (1 + 10) + (1 + 9) + (1 + 8) + (1 + 7) + (1 + 6)}
∴ The numerator = {12 + 11 + 10 + 9 + 8 + 7}
∴ The numerator = {57}
The numerator is 57
∵ The denominator = {(n) + (n + 1) + (n + 2) + .......... + (n + 11)}
- Do the same as the numerator put n = 1
∴ The denominator = {1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12}
∴ The denominator = {78}
The denominator is 78
Now find the value of the fraction
∵ The fraction =
∴ Its value = 0.730769230
- Multiply it by 100%
∴ Its value = 0.730769230 × 100% = 73.0769230%
- Round it to the nearest tenth
∴ Its value = 73.1%
The value of the fraction is 73.1%