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### Grade 6 - Mathematics4.6 Operation on Fractions

 Operations with Fractions: Addition and Subtration: To add or subtract unlike fractions, first we convert them into like fractions and then perform the required operation on like fractions so obtained. Example: 2/7 + 3/7 = 5/7 1/2 + 1/3 = 3/6 + 2/6 = 5/6 4/7 - 3/7 = 1/7 1/2 - 1/3 = 3/6 - 2/6 = 1/6 Multiplication of Fractions: The product of two or more fractions is a fraction whose numerator is the product of their numerators and denominator is the product of their denominators. Example: 2/3 x 4/5 = (2x4)/(3x5) = 8/15 9/27 x 2/3 = 18/81 = 2/9 When the product of two fractions or a fraction and a whole number is 1, then either of them is called the reciprocal of the other. Example: 2/3 x 3/2 = 1 4/7 x 7/4 = 1 The number zero (0) has no reciprocal. Example: 0/0 Division by zero is not defined. Division of Fractions: Dividing a fraction or a whole number by a fraction or a whole number (other than zero) is the same as multiplying the first by the reciprocal of the second. 24/7 ¸ 49/12 = 24/7 x 12/49 = 14 3 ¸ 4/3 = 3 x 3/4 = 9/4 4/3 ¸ 3 = 4/3 x 1/3 = 4/9 Directions: Solve the following problems and simplify the answers. Also write at least 5 example for all the operations on fractions.
 Q 1: (260/6) ÷ (360/6) = _____ ?Answer: Q 2: 21/8 - 20/9 = _____ ?Answer: Q 3: (28/7) ÷ (36/8) = _____ ?Answer: Q 4: 256/20 - 286/25 = _____ ?Answer: Q 5: (19/625) ÷ (18/125) = _____ ?Answer: Q 6: 360/6 x 20/9 = _____ ?Answer: Q 7: 260/22 - 282/22 = _____ ?Answer: Q 8: 5/7 + 7/6 = _____ ?Answer: Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!