Question

can somebody please help me with my homework math by the way

Answer 1

$17\text{ - 5}\frac{3}{4}\text{ = 11}\frac{1}{4}$

Here, we want to subtract the mixed fraction from the whole number

To do this, we need to express the mixed fraction as an improper fraction

To do this, we will multiply the numerator by the whole number and add the numerator

We have this as;

$5\frac{3}{4}\text{ = }\frac{(5\times4)+3}{4}\text{ = }\frac{20+3}{4}\text{ = }\frac{23}{4}$

We can now perform the subtraction as follows;

$17-\frac{23}{4}\text{ = }\frac{4(17)-23}{4}\text{ = }\frac{68-23}{4}\text{ = }\frac{45}{4}$

To properly write the answer, we have to express 45/4 as a mixed fraction

What we have to do here is to divide 45 by 4, then place the quotient at the front, then, the remainder as the numerator

We have this as;

$\frac{45}{4}\text{ = 11}\frac{1}{4}$