Question

Simplify expressions

Answer 1

a) $\frac{2}{5} \div ( - \frac{3}{4} )$

■Dividing a positive and a negative equals a negative: (+)÷(-)=(-)

$- \frac{2}{5} \div \frac{3}{4}$

■To divide by a fraction, multiply by the reciprocal of that fraction

$- \frac{2}{5} \times \frac{4}{3}$

■Multiply the fractions

$- \frac{8}{15}$

Hence, Quotient =$- \frac{8}{15}$

b) $0.4 \div ( - 0.75)$

■Convert the decimals into a fractions

$\frac{2}{5} \div ( - \frac{3}{4} )$

■Dividing a positive and a negative equals a negative: (+)÷(-)=(-)

$- \frac{2}{5} \div \frac{3}{4}$

■To divide by a fraction, multiply by the reciprocal of that fraction

$- \frac{2}{5} \times \frac{4}{3}$

■Multiply the fractions

$- \frac{8}{15}$

Hence, Quotient is $- \frac{8}{15}$

c)$- \frac{2}{5} \div \frac{3}{4}$

■To divide by a fraction, multiply by the reciprocal of that fraction

$- \frac{2}{5} \times \frac{4}{3}$

■Multiply the fractions

$- \frac{8}{15}$

Hence, The Quotient is $- \frac{8}{15}$