Question

What is 1 3/5 × 2 1/7​

Answer 1

`\large\boxed{1(3)/(5)*2(1)/(7)=3(3)/(7)}`

Explanation:

Step 1:

Convert the mixed numbers to the improper fractions:

`1(3)/(5)=(1\cdot5+3)/(5)=(8)/(5)\\\\2(1)/(7)=(2\cdot7+1)/(7)=(15)/(7)`

Step 2:

We multiply the numbers remembering about simplifying:

`1(3)/(5)*2(1)/(7)=(8)/(5\!\!\!\!\diagup_1)*(15\!\!\!\!\!\diagup^3)/(7)=(8*3)/(1*7)=(24)/(7)=(21+3)/(7)=(21)/(7)+(3)/(7)=3(3)/(7)`