Rewrite this expression into a fraction.

$\displaystyle 88\div 20 = \frac{88}{20}$

Write the factors for the numerator and denominator.

$\displaystyle \frac{88}{20} = \frac{4\times 22}{4 \times 5}$

The fours are common and can be divided or cancelled.

The result is:  $\displaystyle \frac{22}{5}$

In order to divide these two numbers, we will need to rewrite both numbers as a fraction and split the numbers by common factors.

$\displaystyle 96 \div 26 = \frac{96}{26}= \frac{2 \times 48}{2 \times 13}$

The twos can be cancelled through division.  

The answer is:  $\displaystyle \frac{48}{13}$

When you are dealing with negative numbers, the following rules apply.

If there are no negative signs, the answer is positive. 

If there is one negative sign, the answer is negative.

If there are two negative signs, the answer is positive. 

$\displaystyle 25\div5=5$, and since there is only one negative sign the answer is negative. $\displaystyle -5$ is the solution.

Rewrite this expression as a fraction.

$\displaystyle 78\div 18 = \frac{78}{18}$

Rewrite both numbers using common factors.

$\displaystyle \frac{78}{18} =\frac{2 \times 3 \times 13}{2 \times 3\times 3}$

Cancel the common terms in the numerator and denominator.

The answer is:  $\displaystyle \frac{13}{3}$

Instead of using long division to solve, we can rewrite the numerator and denominator by their common factors.

$\displaystyle \frac{81}{18} = \frac{3\times 3 \times 3 \times 3}{3\times 3 \times 2}$

Cancel the common terms in the numerator and denominator.

Write the remaining terms.

$\displaystyle \frac{3 \times 3}{2} = \frac{9}{2}$

The answer is:  $\displaystyle \frac{9}{2}$

Rewrite the numerator and denominator with common factors.

$\displaystyle \frac{56}{22} = \frac{2 \times 28}{2\times 11}$

Simplify the fraction.

The answer is:  $\displaystyle \frac{28}{11}$

Rewrite the expression into a fraction.

$\displaystyle 98\div 32 = \frac{98}{32}$

Write the numbers in terms of their common factors.

$\displaystyle \frac{98}{32} =\frac{2\times 49}{2 \times 16}$

Cancel the common terms.  There are no common factors with the numbers 49 and 16.

The answer is:  $\displaystyle \frac{49}{16}$

By the order of operations, in the absence of grouping symbols, multplication must be worked before adding or subtracting. Then the addition and subtraction must be worked in left-to-right order; the subtraction is at left, so the subtraction is worked next, followed by the addition.

Write the sentence as an expression.

$\displaystyle \frac{26}{78}$

Rewrite the fraction by common factors.  Both numbers are divisible by two.

$\displaystyle \frac{26}{78} = \frac{2\times 13}{2\times 39}$

Cancel out the two.

Notice that the fraction $\displaystyle \frac{13}{39}$ can also be reduced further.

$\displaystyle \frac{13}{39} = \frac{13\times 1}{13 \times 3} = \frac{1}{3}$

The fraction is:  $\displaystyle \frac{1}{3}$

Write the expression as a fraction.

$\displaystyle \frac{60}{25}$

Rewrite the numerator and denominator with common factors.

$\displaystyle \frac{60}{25} = \frac{12\times 5}{5 \times 5}$

Cancel the common terms on the top and bottom.

The answer is:  $\displaystyle \frac{12}{5}$