Verify a \times (b + c) = a \times b + a \times c for a = \frac{-3}{4}, b = \frac{2}{5}, c = \frac{-5}{6}.

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Multiplication and Division of Rational Numbers, Distributive Property of Rational Numbers over Addition | PadhAiPro

Question

TextMultiplication and Division of Rational NumbersDistributive Property of Rational Numbers over Addition

The statement \frac{2}{3}\times\left(\frac{-5}{7}+\frac{1}{4}\right)=\frac{2}{3}\times\frac{-5}{7}+\frac{2}{3}\times\frac{1}{4} shows which property?

\frac{-4}{9}\div\frac{8}{-15} is equal to:

For all non-zero rational numbers a, b, c: (a \div b) \div c = a \div (b \div c).

Use the distributive property to simplify: \frac{4}{9}\times\frac{-3}{7}+\frac{4}{9}\times\frac{-4}{7}

The product of two rational numbers is \frac{-28}{45}. If one of them is \frac{7}{-9}, find the other. (Give your answer as a decimal.)

A ribbon 7\frac{1}{2} m long is cut into pieces, each \frac{3}{4} m long. How many pieces are obtained?