Question

- 1/3 w = 5 & 3/8

a. w = 4 & 17/24
b. w = 5 & 1/24
c. w = 5 & 4/11
d. w = 5 & 17/24

Answer 1

w = 119/24 = 4.958

Step 1 : 3 Simplify — 8 Equation at the end of step 1 : 1 3 ((0 - —) + w) - (5 - —) = 0 3 8 Step 2 :Rewriting the whole as an Equivalent Fraction : 2.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using 8 as the denominator : 5 5 • 8 5 = — = ————— 1 8 Step 3 : 1 Simplify — 3 Step 4 :Rewriting the whole as an Equivalent Fraction : 4.1 Adding a whole to a fraction

Rewrite the whole as a fraction using 3 as the denominator : w w • 3 w = — = ————— 1 3 Step 5 :Calculating the Least Common Multiple : 5.1 Find the Least Common Multiple

The left denominator is : 3

The right denominator is : 8 Step 6 :When a fraction equals zero : 6.1 When a fraction equals zero ...Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how: 24w-119 ——————— • 24 = 0 • 24 24 Now, on the left hand side, the 24 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
24w-119 = 0 which would equal..... w = 119/24 = 4.958