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

Answer :

The given expression is

[tex]\frac{(155)\times(6124)}{977}[/tex]

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

[tex]155\times6124[/tex]

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

[tex]155\times6124=100\times6124+50\times6124+5\times6124[/tex]

Let us do each part, then add the products

[tex]\begin{gathered} 100\times6124=612400 \\ 50\times6124=5\times10\times6124=5\times61240=306200 \\ 5\times6124=30620 \end{gathered}[/tex]

Now, we will sum them up

[tex]612400+306200+30620=949220[/tex]

We will divide the answer by 977

[tex]\begin{gathered} \frac{949220}{977}= \\ \\ \frac{9492}{977}=9R699 \\ \\ \frac{6992}{977}=7R153 \\ \\ \frac{1530}{977}=1R553 \end{gathered}[/tex]

Then the answer should be

[tex]\begin{gathered} 971+\frac{553}{977}= \\ \\ 971\frac{553}{977} \end{gathered}[/tex]

The answer is the mixed number 971 553/977