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Addition Rational NumbersCovid19 has led the world to go through a phenomenal transition . Elearning is the future today. Stay Home , Stay Safe and keep learning!!! Operations on Rational numbersAddition rational numbers : Steps used for addition rationalnumbers : 1) In a rational number, if the denominators are same then just add the numerators. p / q + r / q = ( p + r ) / q 2) If the denominators are different then first find the LCM of denominators, make the denominators same and then add the numerators. ________________________________________________________________ Some solved examples on addition rational numbers Same denominators : 1) 12 / 7 + 23 / 7 = ( 12 + 23 ) / 7 = 35 / 7 As the GCF(HCF) of 35 and 7 is 7 so we can write this rational number in lowest form. 35 / 7 = ( 35 ÷ 7) / ( 7 ÷ 7) = 5 / 1 = 5 ________________________________________________________________ 2) 31 / 3 + 22 / 3 = ( 31 + 22 ) / 3 = 53 / 3 As the GCF(HCF) of 53 and 3 is 1 so 53 / 3 is the lowest form. ________________________________________________________________ Different denominators : 3) 5 / 12 + 3 / 8 Solution : 5/ 12 + 3 / 8 , here the denominators are different so we have to find the LCM of 12 and 8. LCM of 12 and 8 = 24 5 / 12 = ( 5 x 2 ) / ( 12 x 2) = 10 / 24 3 / 8 = ( 3 x 3 ) / ( 8 x 3) = 9 / 24 Now the denominators are same so add the numerators. ( 10 + 9 ) / 24 = 19 / 24 ________________________________________________________________ 4) 7 / 9 + 4 Solution : 7 / 9 + 4 / 1 ( since 4 = 4 /1 ) Here the denominators are different . 4 / 1 = ( 4 x 9) / ( 1 x 9) = 36 / 9 ( 7 + 36 ) / 9 = 43 / 9 ________________________________________________________________ 5) Add 3 / 8 and – 5 / 12 Solution : 3/ 8 + ( 5 ) / 12 , here the denominators are different so we have to find the LCM of 12 and 8. LCM of 12 and 8 = 24  5/ 12 = ( 5 x 2 ) / ( 8 x 3) =  10 / 24 [ ( 9 + (  10 )] / 24 =  1 / 24 ________________________________________________________________ Rational number • Representation of rational number on number line • Comparison of rational number • Addition rational numbers • Subtraction of rational numbers • Conversion of rational numbers to decimal • Irrational Numbers Home Covid19 has affected physical interactions between people. Don't let it affect your learning.
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