Question

Plz answer it fast plz​

Answer 1

Answer:

1: $\frac{37}{60}$

2: 23

3: 12

4: $36\frac{3}{4}$

5: $\frac{-3}{4} ,\frac{-5}{8} ,\frac{-1}{2}$     (I chose these rational numbers, but you can choose any that you like. Go to the bottom of this answer and select any three rational numbers.)

Step-by-step explanation:

1: $(\frac{7}{25}$ × $\frac{-15}{8} )$ + $(\frac{-3}{5}$ × $\frac{4}{9} )$

= $(\frac{-105}{200} )$ + $(\frac{-12}{45} )$

LCM of 200 & 45 = 1800

= $(\frac{-105 * 6 = -630}{200 * 6 = 1800} ) + (\frac{-12 * 40 = -480}{45*40=1800} )$

= $\frac{-630 + -480}{1800}$ = $\frac{-630-480}{1800}$ = $\frac{1110}{1800}$

Simplified form of $\frac{1110}{1800}$ is $\frac{37}{60}$

2: distributive property:

a × b + c × a   =   a × (b + c)

$\frac{23}{5} * \frac{15}{7} + \frac{20}{7} * \frac{23}{5} = \frac{23}{5} * (\frac{15}{7} + \frac{20}{7} )$

$\frac{23}{5} * (\frac{15}{7} + \frac{20}{7} ) = \frac{23}{5} * \frac{35}{7} = \frac{805}{35} = \frac{23}{1} = 23$

3:$( \frac{3}{4} / \frac{1}{2} ) / \frac{1}{8}$

$= ( \frac{3}{4} * \frac{2}{1} ) / \frac{1}{8}$

$= \frac{6}{4} / \frac{1}{8}$

$=\frac{6}{4} * \frac{8}{1} = \frac{48}{4} = \frac{12}{1} = 12$

4: Perimeter = 2 × (Length + Breadth)

Length = $12\frac{1}{4} = \frac{49}{4}$

Breadth = $6\frac{1}{8} = \frac{49}{8}$

Perimeter = 2 × $(\frac{49}{4} + \frac{49}{8})$

= 2 × $(\frac{49 * 2}{4*2} + \frac{49*1}{8*1} )$

= 2 × $(\frac{98}{8} + \frac{49}{8} )$

= $\frac{2}{1}$ × $\frac{147}{8}$

= $\frac{294}{8} = \frac{147}{4} = 36\frac{3}{4}$

5: $\frac{-7}{8} , \frac{-5}{22}$

LCM of 8 and 22 is 88.

$\frac{-7*11=-77}{8*11=88} , \frac{-5*4=-20}{22*4=88} = \frac{-77}{88} ,\frac{-20}{88}$

You can choose  any number between -77 and -20 (exclusive). For the sake of answering your question, I am taking -66, -55, and -44.

$= \frac{-66}{88} , \frac{-55}{88} , \frac{-44}{88}$

$\frac{-3}{4} ,\frac{-5}{8} ,\frac{-1}{2}$ are three rational numbers between $\frac{-7}{8}$ and $\frac{-5}{22}$.

That's it. I hope you liked my explanation.

PS: * means ×, and / means ÷