Question

when 1580 is divided into 13 equal parts, the remainder is 7. What is the correct way to write the quotient

Answer 1

`(1580)/(13) = 121 + (7)/(13)`.

Explanation:

We have that the division algorithm formula is

m = pq + r, where m is the dividend, p is the divisor , q is the quotient and r the remainder.

Now, the quotient m/p will be written as

`(m)/(p) = (pq)/(p) + (r)/(p)`

`(m)/(p) = q + (r)/(p)`.

We have that 1580/13= 121.53, 121 is the quotient, then

1580 = 13*121+7 and

`(1580)/(13) = 121 + (7)/(13)`.