KnowledgeBoat Logo
|

Mathematics

Which of the following rational numbers is equivalent to 27\dfrac{-2}{7} ?

  1. 1421\dfrac{-14}{21}

  2. 814\dfrac{-8}{14}

  3. 1449\dfrac{-14}{49}

  4. 628\dfrac{-6}{28}

Rational Numbers

1 Like

Answer

Reduce each option to standard form:

1421=14÷721÷7=23814=8÷214÷2=471449=14÷749÷7=27628=6÷228÷2=314\dfrac{-14}{21}=\dfrac{-14 \div 7}{21 \div 7}=\dfrac{-2}{3} \\[1em] \dfrac{-8}{14}=\dfrac{-8 \div 2}{14 \div 2}=\dfrac{-4}{7} \\[1em] \dfrac{-14}{49}=\dfrac{-14 \div 7}{49 \div 7}=\dfrac{-2}{7} \\[1em] \dfrac{-6}{28}=\dfrac{-6 \div 2}{28 \div 2}=\dfrac{-3}{14} \\[1em]

Only option 3 reduces to 27\dfrac{-2}{7}

Hence, option 3 is the correct option.

Answered By

1 Like


Related Questions