SOLUTION: 3/4 y - 1/2 = 1/7 i added 1/2 to both sides and got 9/14 now i'm left with 3/4 y = 9/14 i'm supposed to divide 3/4 from both sides to get y by itself. y=? i'm strugglin

Question 349354: 3/4 y - 1/2 = 1/7
i added 1/2 to both sides and got 9/14
now i'm left with 3/4 y = 9/14
i'm supposed to divide 3/4 from both sides to get y by itself.
y=? i'm struggling to divide fractions...
do you think you can help?
thank you very much
Answer by JessicaLGill(2) (Show Source): You can put this solution on YOUR website!
You have done all the correct steps. I will start with where you left off.

=. Now to divide by fractions, you simply multiply by the reciprical (the opposite). The reciprical of is so your next step would look like such: * = * . Now, when you multiply the left side, you cross multiply (multiply the numerator of the first fraction by the denominator of the second fraction and then preform the reverse or multiply the numerator of the second fraction by the denominator of the first fraction), or you can simplify the problem. x would equal or so you can simply state it as . Now that you have isolated on the left side of the equation, it is time to work the right side of the equation. Since and won't reduce into each other, you can multiply the numerators together and then multiply the denominators together as such: and . Your final fraction will look like this: . This is fine unless you are required to show your answer in the lowest form. If you are required to show your answer in the lowest form, you will need to reduce to it's smallest equivalent fraction. To do this, you must find the smallest number that will divide into both the numberator and denominator an even number of times that leaves the fraction unable to be reduced further. Since and are both multiples of 6, divide each by 6. Your end result will be .
If you need more assistance, please let me know.
Thanks,
Jessica
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