Lessons Grade 7

Chapter 15

Chapter 15: Rational Numbers

15.1 Introduction to Rational Numbers

A rational number is any number that can be written as a fraction pqfrac{p}{q}qp​, where ppp and qqq are integers and q≠0q neq 0q=0.

15.2 Operations with Rational Numbers

Addition and Subtraction: To add or subtract rational numbers, find a common denominator.

Multiplication: Multiply the numerators and denominators.

Division: Multiply by the reciprocal of the divisor.

Exercises

Exercise 1: Simplify the following rational numbers:

510frac{5}{10}105​

1530frac{15}{30}3015​

23+49frac{2}{3} + frac{4}{9}32​+94​

35−12frac{3}{5} - frac{1}{2}53​−21​

78×34frac{7}{8} times frac{3}{4}87​×43​

Exercise 2: Solve the following problems involving rational numbers:

23÷45frac{2}{3} div frac{4}{5}32​÷54​

79+56frac{7}{9} + frac{5}{6}97​+65​

34−12frac{3}{4} - frac{1}{2}43​−21​

85×32frac{8}{5} times frac{3}{2}58​×23​

23+56frac{2}{3} + frac{5}{6}32​+65​ The explanations are very clear. You just have only one thing to do, to read and answer. For the questions and try to ask creative questions, for example, can I solve them in the other another.

Thank you. I hope you enjoy answering and understanding these explanations and these questions.

Eslam Assem