Subtract the first rational number from the second in each of the following- i 3-8-5-8 ii -7-9-4-9 iii -2-11-9-11 iv11-13-4-13 v 1-4-3-8 vi-2-3-5-6 vii -6-7-13-14 viii-8-33-7-22

(i) 3/8 from 5/8=5/8 3/8=5 3/8 =2/8=2 ÷ 2/8 ÷ 2=1/4 (ii) 7/9 from 4/9=4/9 ( 7/9) =4/9+7/9=4+7/9 =11/9 (iii) 2/11 from 9/11= 9/11 ( 2/11 ) 9/11+2/11= 9+2/ ...

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Byju's Answer

Standard VII

Mathematics

Subtraction of Rational Numbers

Subtract the ...

Question

Subtract the first rational number from the second in each of the following:

(i) $\frac{3}{8}, \frac{5}{8}$

(ii) $\frac{- 7}{9}, \frac{4}{9}$

(iii) $\frac{- 2}{11}, \frac{- 9}{11}$

(iv) $\frac{11}{13}, \frac{- 4}{13}$

(v) $\frac{1}{4}, \frac{- 3}{8}$

(vi) $\frac{- 2}{3}, \frac{5}{6}$

(vii) $\frac{- 6}{7}, \frac{- 13}{14}$

(viii) $\frac{- 8}{33}, \frac{- 7}{22}$

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Solution

(i) $\frac{3}{8} f r o m \frac{5}{8} = \frac{5}{8} - \frac{3}{8} = \frac{5 - 3}{8} = \frac{2}{8} = \frac{2 \div 2}{8 \div 2} = \frac{1}{4}$

(ii) $\frac{- 7}{9} f r o m \frac{4}{9} = \frac{4}{9} - (\frac{- 7}{9}) = \frac{4}{9} + \frac{7}{9} = \frac{4 + 7}{9} = \frac{11}{9}$

(iii) $\frac{- 2}{11} f r o m \frac{- 9}{11} = \frac{- 9}{11} - (\frac{- 2}{11}) \frac{- 9}{11} + \frac{2}{11} = \frac{- 9 + 2}{11} = \frac{- 7}{11}$

(iv) $\frac{11}{13} f r o m \frac{- 4}{13} = \frac{- 4}{13} - \frac{11}{13} = \frac{- 4 - 11}{13} = \frac{- 15}{13}$

(v) $\frac{1}{4} f r o m \frac{- 3}{8} = \frac{- 3}{8} - (\frac{1}{4}) = \frac{- 3}{8} - \frac{1}{4} = \frac{- 3 - 2}{8} (L C M 8, 4 = 8) = \frac{- 5}{8}$

(vi) $\frac{- 2}{3} f r o m \frac{5}{6} = \frac{5}{6} - (\frac{- 2}{3}) = \frac{5}{6} + \frac{2}{3} = \frac{5 + 4}{6} = \frac{9}{6} = \frac{9 \div 3}{6 \div 3} = \frac{3}{2}$

(vii) $\frac{- 6}{7} f r o m \frac{- 13}{14} = \frac{- 13}{14} - (\frac{- 6}{7}) = \frac{- 13}{14} + \frac{6}{7} = \frac{- 13 + 12}{14} = \frac{- 1}{4}$

(viii) $\frac{- 8}{33} f r o m \frac{- 7}{22} = \frac{- 7}{22} - (\frac{- 8}{33}) = \frac{- 21 + 16}{66} = \frac{- 5}{66}$

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Similar questions

Can’t you do these in your head?

(i) (13 × 8) + (7 × 8)

(ii) (15 × 9) + (5 × 9)

(iii)

(iv)

Subtract the first rational number from the second in each of the following:
(i) $\frac{3}{8}, \frac{5}{8}$

(ii) $\frac{- 7}{9}, \frac{4}{9}$

(iii) $\frac{- 2}{11}, \frac{- 9}{11}$

(iv) $\frac{11}{13}, \frac{- 4}{13}$

Using commutativity and associativity of addition of rational numbers, express each of the following as a rational number:

(i) $\frac{2}{5} + \frac{7}{3} + \frac{- 4}{5} + \frac{- 1}{3}$

(ii) $\frac{3}{7} + \frac{- 4}{9} + \frac{- 11}{7} + \frac{7}{9}$

(iii) $\frac{2}{5} + \frac{8}{3} + \frac{- 11}{15} + \frac{4}{5} + \frac{- 2}{3}$

(iv) $\frac{4}{7} + 0 + \frac{- 8}{9} + \frac{- 13}{7} + \frac{17}{21}$

Q. Subtract the first rational number from the second in each of the following:
(i)

\frac{3}{8}, \frac{5}{8}

(ii)

\frac{- 7}{9}, \frac{4}{9}

(iii)

\frac{- 2}{11}, \frac{- 9}{11}

(iv)

\frac{11}{13}, \frac{- 4}{13}

(v)

\frac{1}{4}, \frac{- 3}{8}

(vi)

\frac{- 2}{3}, \frac{5}{6}

(vii)

\frac{- 6}{7}, \frac{- 13}{14}

(viii)

\frac{- 8}{33}, \frac{- 7}{22}

Add the following rational numbers :

(i) $\frac{- 2}{5}$ and $\frac{4}{5}$ (ii) $\frac{- 6}{11}$ and $\frac{- 4}{11}$ (iii) $\frac{- 11}{8}$ and $\frac{5}{8}$

(iv) $\frac{- 7}{3}$ and $\frac{1}{3}$ (v) $\frac{5}{6}$ and $\frac{- 1}{6}$ (iv) $\frac{- 17}{15}$ and $\frac{- 1}{15}$

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Subtract the first rational number from the second in each of the following: (i) 38,58 (ii) −79,49 (iii) −211,−911 (iv)1113,−413 (v) 14,−38 (vi)−23,56 (vii) −67,−1314 (viii)−833,−722