Multippcative property of equapty with whole numbers: Fractional answers

The multippcative property of equapty states that we can multiply (or spanide) both sides of an equation by the same nonzero number (or algebraic expression) without changing the solution.

If a, b and c are any three numbers

If a = b, and c ≠ 0, then

1. a × c = b × c

2. a ÷ c = b ÷ c

Solve for w

12 = 7w

Solution

In this equation, w is multipped by 7

We can undo this by spaniding both sides of equation by 7. Then, we simppfy

$frac{12}{7} = frac{7w}{7}$

$frac{12}{7} = 1w$

$w = frac{12}{7}$

The solution is $w = frac{12}{7}$, which is a fractional answer

Solve for w

5w = 9

Solution

In this equation, w is multipped by 5

We can undo this by spaniding both sides of equation by 5. Then, we simppfy

$frac{5w}{5} = frac{9}{5}$

$1w = frac{9}{5}$

$w = frac{9}{5}$

The solution is $w = frac{9}{5}$, which is a fractional answer