Question
Sum of three fractions is 2$11/24$ . On dividing the largest fraction by the smallest fraction, $7/6$ is obtained which is $1/3$ greater than the middle fraction. The smallest fraction is
Answer: Option C
Answer: (c)Let the three fractions be p, q and r,where p < q < r. According to the question, $r/p$ = $7/6$ ⇒ r = $7/6$ p Again, middle fraction = q = $7/6$ - $1/3$ = ${7-2}/6$ = $5/6$ ∴ p+q+r = 2$11/24$ ⇒ p + $5/6$ + $7/6$p = $59/24$ ⇒ p+${7p}/6$ = $59/24$ - $5/6$ ⇒ ${6p+7p}/6$ = ${59-20}/24$ = $93/24$⇒ 13p = $39/24$×6 = $39/4$ ⇒ p = $39/{4×13}$ = $3/4$
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Answer: (c)Let the three fractions be p, q and r,where p < q < r. According to the question, $r/p$ = $7/6$ ⇒ r = $7/6$ p Again, middle fraction = q = $7/6$ - $1/3$ = ${7-2}/6$ = $5/6$ ∴ p+q+r = 2$11/24$ ⇒ p + $5/6$ + $7/6$p = $59/24$ ⇒ p+${7p}/6$ = $59/24$ - $5/6$ ⇒ ${6p+7p}/6$ = ${59-20}/24$ = $93/24$⇒ 13p = $39/24$×6 = $39/4$ ⇒ p = $39/{4×13}$ = $3/4$
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