Question

Step by step on how to solve 6 1/4 + - 7 6/7

Answer 1

The given expression is

`6(1)/(4)+(-7(6)/(7))`

First, we transform each mixed number into a fraction.

`\begin{gathered} 6(1)/(4)=(6\cdot4+1)/(4)=(24+1)/(4)=(25)/(4) \\ 7(6)/(7)=(7\cdot7+6)/(7)=(49+6)/(7)=(55)/(7) \end{gathered}`

Then, subtract the fractions.

`(25)/(4)-(55)/(7)=(25\cdot7-55\cdot4)/(4\cdot7)=(175-220)/(28)=(-45)/(28)`

Hence, the result is -45/28.