Question

Assessment items What is the quotient? 1 5/8 ÷(−1 3/5 )

Answer 1

We need convert the mixed numbers to improper fractions.

`1(5)/(8)=(1\cdot8+5)/(8)=(8+5)/(8)=(13)/(8)\\\\1(3)/(5)=(1\cdot5+3)/(5)=(5+3)/(5)=(8)/(5)`

Divide the number by a fraction, this is the same as multiply this number by the reciprocal of the fraction:

`1(5)/(8)/\left(-1(3)/(5)\right)=-(13)/(8)/(8)/(5)=-(13)/(8)\cdot(5)/(8)=-((13)(5))/((8)(8))=-(65)/(64)\\\\\boxed{1(5)/(8)/\left(-1(3)/(5)\right)=-1(1)/(64)}`