Question

Please help with this math

Answer 1

1.b
first break down 3 by 8 M + 1 into 3 by 8 m and + 3 by 8 rationalize the denominator and then calculate.

2. e
perimeter of square is four times of its side

Answer 2

$\mathsf{1.\;\;Given :\;\dfrac{1}{4}m + \dfrac{3}{4}m - \dfrac{3}{8}(m + 1)}$

$\mathsf{\implies \dfrac{m}{4} + \dfrac{3m}{4} - \dfrac{3(m + 1)}{8}}$

$\mathsf{\implies \dfrac{m + 3m}{4} - \dfrac{(3m + 3)}{8}}$

$\mathsf{\implies \dfrac{4m}{4} - \dfrac{(3m + 3)}{8}}$

$\mathsf{\implies \dfrac{2(4m) - (3m + 3)}{8}}$

$\mathsf{\implies \dfrac{8m - 3m - 3}{8}}$

$\mathsf{\implies \dfrac{5m - 3}{8}}$

$\mathsf{\implies \dfrac{5}{8}m - \dfrac{3}{8} }$

Answer : Option - B

2. Given : Length of the Square = n - 1.5

♣  Perimeter of Square with side S = 4S

$:\implies$  Perimeter of given Square = 4(n - 1.5)

$:\implies$  4(n - 1.5) = n + n + n + n - 1.5 - 1.5 - 1.5 - 1.5

$:\implies$  4(n - 1.5) = 2(n - 1.5) + 2(n - 1.5)

Answers : Options (A - B - E)

3. Given : 3(4m - 2) - 2(m + 5)

$:\implies$  3(4m) - 3(2) - 2(m) - 2(5)

$:\implies$  12m - 6 - 2m - 10

$:\implies$  10m - 16