How do you evaluate #-\frac { 3} { 8} - \frac { 4} { 5} \cdot \frac { 3} { 10} \div ( - \frac { 4} { 5} )#?

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Answer 1 · 2017-09-27T15:00:01

#\frac{-27}{40}#

#-\frac { 3} { 8} - \frac { 4} { 5} \cdot \frac { 3} { 10} \div (-\frac { 4} {5} )#

= #-\frac {3} {8} -\frac {4} {5} \times \frac { 3} { 10} \times (-\frac{5} {4} )#

Apply BODMAS rule:

=#-\frac{3}{8}-\frac{4\times3\times-5}{-5\times10\times4}#

=#-\frac{3}{8}-\frac{cancel4\times3\timescancel(-5)}{cancel(-5)\times10\timescancel4}#

=#-\frac{3}{8}-\frac{3}{10}#

Making denominators equal,

=#-\frac{3}{8}(5/5)-\frac{3}{10}(4/4)#

=#-\frac{15}{40}-\frac{12}{40}#

=#\frac{-15-12}{40}#

=#\frac{-27}{40}#