Find the lowest common denominator that would eliminate the fractions in this equation.

y over 3+y over 4=5 over 6 (y/3+y/4=5/6)

Question

Find the lowest common denominator that would eliminate the fractions in this equation.

y over 3+y over 4=5 over 6 (y/3+y/4=5/6)

anonymous · Answer

This shouldn't be too hard.  Common denominator, convert to proportion, and solve.$$y/3+y/4=5/6\implies \frac{7y}{12}=\frac{5}{6}\implies 42y=60 \implies y=\frac{10}{7}$$

anonymous · Answer

Get it?

anonymous · Answer

No

anonymous · Answer

What don't you understand?

anonymous · Answer

Im only 10, i just wanted to know the answer because my friend was doing it earlier

anonymous · Answer

Good night.

campbell_st · Answer

the common denominator is 12... so multiply every term by 12

$$12 \times y/3 + 12 \times y/4 = 12 \times 5$$

this can be simplified to 

look at the 1st term    $$12 \times y/3 = (3 \times4\times y)3 = 4y$$    the 3s cancel out

campbell_st · Answer

the next term is $$12y/4 = (4 \times 3\times y)/4$$

the 4s cancel 

and 12 x 5 = 60

so the problem becomes

4y + 3y = 60

or 7y = 60

campbell_st · Answer

the common denominator of 12 comes from 3 x 4    the bottom of each fraction

lgbasallote · Answer

i taught this to you before right?

list your denominators
3, 4, 6

break them down
3 -> 3
4 -> 2(2)
6 ->(2)(3)

your LCD needs to contain ALL of these..so your LCD will be (3)(2)(2) = 12

check
does it contain 3? $\checkmark$
does it contain 4 or (2)(2)? $\checkmark$
does it contain 6 or (2)(3)? $\checkmark$

so 12 is the LCD

anonymous · Answer

When you multiply the RHS by 12, you get ten, not sixty.

anonymous · Answer

Otherwise, your explanation is great.

anonymous · Answer

Thanks @igbasalotte

anonymous · Answer

@igbasalotte will you fan me so i can send you messages

lgbasallote · Answer

it's lgbasallote