Question

Solve using suitable properties. Also, mention the names of the property used

Answer 1

Answer:

$\frac{27}{40}$

Step-by-step explanation:

$\frac{-3}{4}\times \frac{4}{5} -\frac{1}{2}\times \frac{1}{4}+\frac{4}{5}\times \frac{7}{4}\\\\=>(\frac{-3}{4}\times \frac{4}{5} +\frac{4}{5}\times \frac{7}{4}) -(\frac{1}{2}\times \frac{1}{4}) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: Using \: Associative \: property \\\\=> \frac{4}{5}(\frac{-3}{4}+ \frac{7}{4}) -(\frac{1}{2}\times \frac{1}{4}) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: Using \: Distributive \: property$

$=>\frac{4}{5}(\frac{4}{4}) -(\frac{1}{8})\\\\=>\frac{16}{20}-\frac{1}{8}\\\\=>\frac{32-5}{40} \\\\=>\frac{27}{40}$