Simplify-i 49 -512ii -8 -716iii -127 -18iv -110 -85v -1635 -1514vi -6514 - 137

(i)49 #247; 512=49 #215;12 5=4 #215;129 #215; 5=48 45= 4845= 1615(ii) 8 #247; 716= 8 #215;16 7=8 #215;167=1287(iii) 127 #247;( 18)= 127 #215;1 ...

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Byju's Answer

Standard VIII

Mathematics

Addition and Subtraction of Negative Numbers Using Algebra

Simplify:i 49...

Question

Simplify:
(i) $\frac{4}{9} \div \frac{- 5}{12}$
(ii) $- 8 \div \frac{- 7}{16}$
(iii) $\frac{- 12}{7} \div (- 18)$
(iv) $\frac{- 1}{10} \div \frac{- 8}{5}$
(v) $\frac{- 16}{35} \div \frac{- 15}{14}$
(vi) $\frac{- 65}{14} \div \frac{13}{7}$

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Solution

$(i) \frac{4}{9} \div \frac{- 5}{12} = \frac{4}{9} \times \frac{12}{- 5} = \frac{4 \times 12}{9 \times - 5} = \frac{48}{- 45} = \frac{- 48}{45} = \frac{- 16}{15} (ii) - 8 \div \frac{- 7}{16} = - 8 \times \frac{16}{- 7} = \frac{8 \times 16}{7} = \frac{128}{7} (iii) \frac{- 12}{7} \div (- 18) = \frac{- 12}{7} \times \frac{1}{- 18} = \frac{12}{126} = \frac{12 \div 3}{126 \div 3} = \frac{4}{42} = \frac{4 \div 2}{42 \div 2} = \frac{2}{21} (iv) \frac{- 1}{10} \div \frac{- 8}{5} = \frac{- 1}{10} \times \frac{5}{- 8} = \frac{5}{80} = \frac{5 \div 5}{80 \div 5} = \frac{1}{16} (v) \frac{- 16}{35} \div \frac{- 15}{14} = \frac{- 16}{35} \times \frac{14}{- 15} = \frac{224}{525} (vi) \frac{- 65}{14} \div \frac{13}{7} = \frac{- 65}{14} \times \frac{7}{13} = \frac{- 5}{2}$

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Similar questions

Q. Simplify:

(i)

(\frac{13}{8} \times \frac{12}{13}) + (\frac{- 4}{9} \times \frac{3}{- 2})

(ii)

(\frac{16}{15} \times \frac{- 25}{8}) + (\frac{- 14}{27} \times \frac{6}{7})

(iii)

(\frac{6}{55} \times \frac{- 22}{9}) - (\frac{26}{125} \times \frac{- 10}{39})

(iv)

(\frac{- 12}{7} \times \frac{- 14}{27}) - (\frac{- 8}{45} \times \frac{9}{16})

Q. Add the following rational numbers:

(i)

\frac{12}{7} and \frac{3}{7}

(ii)

\frac{- 2}{5} and \frac{1}{5}

(iii)

\frac{3}{- 8} and \frac{1}{8}

(iv)

\frac{- 5}{11} and \frac{7}{- 11}

(v)

\frac{9}{- 13} and \frac{- 11}{- 13}

(vi)

\frac{- 2}{9} and \frac{- 5}{9}

(vii)

\frac{- 17}{9} and \frac{- 11}{9}

(viii)

\frac{- 3}{7} and \frac{5}{- 7}

Q. Simplify:

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\frac{173 \times 173 \times 173 + 127 \times 127 \times 127}{173 \times 173 - 173 \times 127 + 127 \times 127}

(ii)

\frac{155 \times 155 \times 155 - 55 \times 55 \times 55}{155 \times 155 + 155 \times 55 + 55 \times 55}

(iii)

\frac{1.2 \times 1.2 \times 1.2 - 0.2 \times 0.2 \times 0.2}{1.2 \times 1.2 + 1.2 \times 0.2 + 0.2 \times 0.2}

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Simplify:
(i) $\frac{2}{3} + \frac{5}{6} - \frac{1}{9}$
(ii) $8 - 4 \frac{1}{2} - 2 \frac{1}{4}$
(iii) $8 \frac{5}{6} - 3 \frac{3}{8} + 1 \frac{7}{12}$

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Simplify: (i) 49÷-512 (ii) -8÷-716 (iii) -127÷-18 (iv) -110÷-85 (v) -1635÷-1514 (vi) -6514÷137

(i)49÷-512=49×12-5=4×129×-5=48-45=-4845=-1615(ii)-8÷-716=-8×16-7=8×167=1287(iii)-127÷(-18)=-127×1-18=12126=12÷3126÷3=442=4÷242÷2=221(iv)-110÷-85=-110×5-8=580=5÷580÷5=116(v)-1635÷-1514=-1635×14-15=224525(vi)-6514÷137=-6514×713=-52

Simplify:
(i) $\frac{4}{9} \div \frac{- 5}{12}$
(ii) $- 8 \div \frac{- 7}{16}$
(iii) $\frac{- 12}{7} \div (- 18)$
(iv) $\frac{- 1}{10} \div \frac{- 8}{5}$
(v) $\frac{- 16}{35} \div \frac{- 15}{14}$
(vi) $\frac{- 65}{14} \div \frac{13}{7}$