Question

Fill in the blanks \(\frac{-15}{32}\) / ____ = \(\frac{12}{32}\).

(a) \(\frac{39}{128}\)

(b) \(\frac{128}{39}\)

(c) \(\frac{128}{-39)}\)

(d) \(\frac{-5}{4}\)

The question was posed to me in homework.

My question is from Properties of Rational Numbers in section Rational Numbers of Mathematics – Class 8

Answer 1

Right answer is (d) \(\frac{-5}{4}\)

To explain: Using the properties of addition and subtraction we can solve this problem.

\(\frac{-15}{32} / x = \frac{12}{32}\)

Therefore x = \(\frac{-15}{32} / \frac{12}{32}\)

Therefore x = \(\frac{-15}{32} * \frac{32}{12}\)

Therefore x = \(\frac{-15}{12}\)

Therefore x = \(\frac{-5}{4}\).