Write as a single fraction x 3 a + y 3 a

Given that, x 3 a + y 3 a We know that, When denominator of fractions are same we add or subtract the numerators, Thus, x 3 a + y 3 a = x + y 3 a Hence, x 3 a + y 3 a = x + y 3 a

Write as a single fraction 3 2 x - 1 2 x

Given that, 3 2 x - 1 2 x We know that, When denominator of fractions are same we add or subtract the numerators, Thus, 3 2 x - 1 2 x = 3 - 1 2 x = 2 2 x = 1 x Hence, 3 2 x - 1 2 x = 1 x

Adam says that, 3 a + 3 a = 6 2 a .Is he correct.Explain the answer.

Given that, 3 a + 3 a = 6 2 a We know that, When denominator of fractions are same we add or subtract the numerators, For example, x a + y a = x + y a Hence, 3 a + 3 a = 6 a But Adam's answer is 3 a + 3 a = 6 2 a Therefore,Adam is incorrect.

Johan says that, 3 2 x + 5 6 x = 11 6 x .Is he correct.Explain the answer.

Given that, 3 2 x + 5 6 x = 11 6 x We know that, When denominator of fractions are same we add or subtract the numerators, For example, x a + y a = x + y a Hence, 3 2 x + 5 6 x = 28 x 12 x 2 = 14 6 x Therefore,Johan's answer is correct.

Write as a single fraction x + 3 7 + x + 1 5

Given that, x + 3 7 + x + 1 5 x + 3 7 + x + 1 5 = 5 x + 3 + 7 x + 1 35 = 5 x + 15 + 7 x + 7 35 = 12 x + 22 35 Hence, x + 3 7 + x + 1 5 = 12 x + 22 35

E M B I B E

Cambridge Lower Secondary Maths Stage 9: Student's Book>Algebra and Geometry>Chapter 15 - Simple Algebraic Fractions>Exercise 1

Michele Conway, Belle Cottingham, Alastair Duncombe and, Amanda George Solutions for Exercise 4: Exercise 1

Author:Michele Conway, Belle Cottingham, Alastair Duncombe & Amanda George

Michele Conway Mathematics Solutions for Exercise - Michele Conway, Belle Cottingham, Alastair Duncombe and, Amanda George Solutions for Exercise 4: Exercise 1

Attempt the free practice questions from Exercise 4: Exercise 1 with hints and solutions to strengthen your understanding. Cambridge Lower Secondary Maths Stage 9: Student's Book solutions are prepared by Experienced Embibe Experts.