Question

Write the remainders as fractions9 ÷213 ÷ 312 ÷ 59 ÷ 413 ÷ 620 ÷ 927 ÷ 5

Answer 1

To answer this question, we can proceed as follows:

1. We need to remember that the division operation has different elements: the dividend (D), the quotient (q), the divisor (d), and the remainder (R), and all of them are related as follows:

`D=q\cdot d+R`

Equivalently, if we divide both sides of the expression above by the divisor (d), we will have the equivalent expression, which will give us the remainder as a fraction - we apply here the division property of equality:

`(D)/(d)=(q\cdot d)/(d)+(R)/(d)\Rightarrow(D)/(d)=q+(R)/(d)`

Then, if we have 9 ÷ 2, we have:

Therefore, if we apply the given formula above, we will have: