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

Answer: (c)

Required number = ${3+1}/{2+5} = 4/7$

or $1/2$ = 0.5; $3/5$ = 0.6; $4/7$ = 0.57

Clearly, 0.5 < 0.57 < 0.6

Answer: (d)

Let the numerator = x and denominator = y

Fraction = $\text"x"/ \text"y"$ and $\text"x"/ \text"y+1" = 1/2$

2x = y + 1 ⇒ x =$\text"y+1"/2$

$\text"x+1"/\text"y"$ =1⇒ x+1 = y

$\text"y+1"/2$+1 = y

$\text"y+1+2"/2$ = y

y +3= 2y ⇒ y = 3

x +1= 3 ⇒ x = 2

∴ xy = 2 × 3 = 6

Answer: (d)

Let the fraction be x.

$\text"4x"/7 +4/7 = 15/14$

$\text"4x"/7 = 15/14 – 4/7 = {15 - 8}/14 = 1/2$

x = $1/2 × 7/4 = 7/8$

Answer: (d)

Suppose required number is x Then,

3x -$\text"3x"/5$ = 60 ⇒ $\text"12x"/5$ =60

= x = ${60 × 5}/12$ = 25

Answer: (c)

Given

$\text"a"/ \text"b" × \text"c"/ \text"d" = 14/15$ ...(i)

$\text"a"/ \text"b" × \text"d"/ \text"c" = 35/24$...(ii)

Now multiplying both the equations

$\text"ac"/ \text"bd" × \text"ad"/ \text"bc" = 14/15 × 35/24$

= $a^2/ b^2 = 49/36$ ⇒ $\text"a"/ \text"b" = 7/6$

$\text"c"/ \text"d" = {14/15}/{7/6} =4/5$

But the greater fraction is $7/6$ .

Answer: (c)

0.$\ov{001}$ = $1/999$