Question

Can you solve this for me?My teacher said we can get extra credit if we solve this (155)×(6,124)977

Answer 1

The given expression is

`((155)*(6124))/(977)`

To solve the question we will Multiply the 2 numbers up, then divide the product by the number down

`155*6124`

We can split the number 155 to 100 + 50 + 5, then multiply each part by 6124 and sum up all the products

`155*6124=100*6124+50*6124+5*6124`

Let us do each part, then add the products

`\begin{gathered} 100*6124=612400 \\ 50*6124=5*10*6124=5*61240=306200 \\ 5*6124=30620 \end{gathered}`

Now, we will sum them up

`612400+306200+30620=949220`

We will divide the answer by 977

`\begin{gathered} (949220)/(977)= \\ \\ (9492)/(977)=9R699 \\ \\ (6992)/(977)=7R153 \\ \\ (1530)/(977)=1R553 \end{gathered}`

Then the answer should be

`\begin{gathered} 971+(553)/(977)= \\ \\ 971(553)/(977) \end{gathered}`

The answer is the mixed number 971 553/977