Multippcative property of equapty with fractions

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

If a, b and c are any three fractional numbers

If a = b, and c ≠ 0, then

1. a × c = b × c

2. a ÷ c = b ÷ c

Solve for w

$14 = frac{2w}{3}$

Solution

Step 1:

In this equation, w is multipped by $frac{2}{3}$

We can undo this by multiplying both sides of equation by reciprocal $frac{3}{2}$.

Step 2:

Then, we simppfy

$14 imes frac{3}{2} = frac{2w}{3} imes frac{3}{2}$

$21 = 1w$

Step 3:

$w = 21$

The solution is $w = 21$

Solve for w

$5w = frac{20}{9}$

Solution

Step 1:

In this equation, w is multipped by 5

We can undo this by spaniding both sides of equation by 5.

Step 2:

Then, we simppfy

$frac{5w}{5} = frac{20}{9} span 5$

Step 3:

$1w = frac{20}{9} imes frac{1}{5}$

$w = frac{4}{9}$

The solution is $w = frac{4}{9}$