Answer:
h=6
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides:
7*h/12-4*h/12-(18/12)=0
3
Simplify —
2
h h 3
((7•——)-(4•——))-— = 0
12 12 2
h
Simplify ——
12
h h 3
((7 • ——) - (4 • ——)) - — = 0
12 12 2
h
Simplify ——
12
h h 3
((7 • ——) - —) - — = 0
12 3 2
Least Common Multiple: 12
To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.
L. Mult. • L. Num. 7h
—————————————————— = ——
L.C.M 12
R. Mult. • R. Num. h • 4
—————————————————— = —————
L.C.M 12
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
7h - (h • 4) 3h
———————————— = ——
12 12
3h 3
—— - — = 0
12 2
Find the Least Common Multiple
The left denominator is : 4
The right denominator is : 2
Least Common Multiple: 4
Making Equivalent Fractions :
Rewrite the two fractions into equivalent fractions
L. Mult. • L. Num. h
—————————————————— = —
L.C.M 4
R. Mult. • R. Num. 3 • 2
—————————————————— = —————
L.C.M 4
Adding fractions that have a common denominator :
h - (3 • 2) h - 6
——————————— = —————
4 4
h - 6
————— = 0
4
Now,to get rid of the denominator, multiply both sides of the equation by the denominator.
h-6
——— • 4 = 0 • 4
4
Now, on the left hand side, the 4 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
h-6 = 0
Solve : h-6 = 0
h = 6
