model 3 fraction of numbers Section-Wise Topic Notes With Detailed Explanation And Example Questions

Answer: (d)

? = 369 × $1/2 × 2/3$= 123

Answer: (d)

Let the required number be x.

As given,

$x × 5/4$ - $x × 5/14$ = 25

$5x(1/4 – 1/14)$ = 25

$5x({7 – 2}/28)$ = 25⇒ $5x × 5/28$ = 25

x = ${25×28}/{5×5}$ = 28

Answer: (d)

Let the length of bamboo be x metres.

Length of bamboo above water

= x - $x/10 – {5x}/8$

= ${40x – 4x – 25x}/40 = {11x}/40$

According to the question, ${11x}/40$ = 2.75

x =${2.75×40}/11$=10 metres.

Answer: (c)

Let the number be x.

According to the question

$x/9 - x/10$ = 4

${10x – 9x}/90$ = 4

x = 90 × 4 = 360

Answer: (c)

Let the value of estate be Rs.x

According to the question

$4/5$ of x = 16800

x = ${16800 × 5}/4$ = Rs.21000

$3/7$ of the value = 21000 × $3/7$ = 3000 × 3 = Rs.9000

Answer: (d)

$1/15 + 1/35 + 1/63 + 1/99 + 1/143$

= $1/{3×5}+1/{5×7}+1/{7×9}+1/{9×11}+1/{11×13} $

=$1/2(1/3 - 1/5+1/5 - 1/7+1/7 - 1/9+1/9 - 1/11+1/11 - 1/13)$

=$1/2(1/3 - 1/13)$

= $1/2({13 - 3}/39) = 5/39$