If you ever need assistance with Rational Expressions including Addition, Subtraction, Multiplication Operations you have come the right way. We have covered the step by step process of simplifying Rational Numbers involving Addition, Subtraction, Multiplication. Check out the solved examples and get a grip on the concept.
Solved Examples on Rational Expressions Involving Addition, Subtraction and Multiplication
1. Simplify the Rational Expression (-4/7*3/2)-(9/4*5/3)
Solution:
Given Rational Expression is (-4/7*3/2)-(9/4*5/3)
= (-4*3/7*2)-(9*5/4*3)
= (-12/14)-(45/12)
= -12/14-45/12
= (-12*6-45*7)/84
= (-72-315)/84
= -387/84
2. Simplify the Rational Expression (-2/3 × 5/4) + (9/4 × 10/2) – (1 × 3/4× 4)
Solution:
Given Rational Expression = (-2/3 × 5/4) + (9/4 × 10/2) – (1 × 3/4× 4)
= (-2*5/3*4)+(9*10/4*2)-(12/4)
= (-10/12)+(90/8)-12/4
= -10/12+90/8-12/4
= (-10*2+90*3-12*6)/24
= (-20+270-72)/24
= 178/24
= 89/12
3. Simply the Rational Expression (-7/12 × 11/(-7)) – (1 × (1/3)) + (1/4 × 1/4)
Solution:
Given Rational Expression = (-7/12 × 11/(-7)) – (1 × (1/3)) + (1/4 × 1/4)
= (-7/12 × 11/(-7)) – (1/3) + (1/16)
= (-7*11/12*-7)-(1/3) + (1/16)
= -77/-84-1/3+1/16
= 77/84-1/3+1/16
=(77*4-1*112+1*21)/336
=(308-112+21)/336
= 217/336
= 31/48