Question

NCERT Portion, grade 8, Lesson 1. Rational numbers

Answer 1

`-(43)/(70)`

Explanation:

One is given the following equation,

`(2)/(3)*(-3)/(7)-(1)/(14)-(3)/(7)*(3)/(5)`

Simplify, use the order of operations. The order of operations is a sequence by which one must simplify an equation. This sequence is the following,

1. Parehtensis

2. Exponents

3. Mutliplcaiton or Division

4. Addition or subtraction

Simplify the given expression. Remember, when multiplying fractions, one must cancel out like terms or factors that can be found in both the numerator and denominator,

`(2)/(3)*(-3)/(7)-(1)/(14)-(3)/(7)*(3)/(5)`

`(-2)/(7)-(1)/(14)-(3)/(7)*(3)/(5)`

`(-2)/(7)-(1)/(14)-(9)/(35)`

Convert to the least common denominator. In this case, the least common denominator is (70). Remember to multiply both the numerator (number over the fraction bar) and denominator (number beneath the fraction bar) to convert the denominator.

`(-2)/(7)-(1)/(14)-(9)/(35)`

`(-2)/(7)*(10)/(10)-(1)/(14)*(5)/(5)-(9)/(35)*(2)/(2)`

Simplify,

`(-2)/(7)*(10)/(10)-(1)/(14)*(5)/(5)-(9)/(35)*(2)/(2)`

`(-20)/(70)-(5)/(70)-(18)/(70)`

`-(25)/(70)-(18)/(70)`

`-(43)/(70)`