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

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> 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      Log On


   



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) About Me  (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.
3%2F4 y=9%2F14. Now to divide by fractions, you simply multiply by the reciprical (the opposite). The reciprical of 3%2F4 is 4%2F3 so your next step would look like such: 4%2F3*3%2F4 y = 9%2F14 * 4%2F3. 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. 4%2F3 x 3%2F4 would equal 12%2F12 or 1 y so you can simply state it as y. Now that you have isolated y on the left side of the equation, it is time to work the right side of the equation. Since 9%2F14 and 4%2F3 won't reduce into each other, you can multiply the numerators together and then multiply the denominators together as such: 9%2A4 and 14%2A3. Your final fraction will look like this: 36%2F42. 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 36%2F42 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 36 and 42 are both multiples of 6, divide each by 6. Your end result will be 6%2F7.
If you need more assistance, please let me know.
Thanks,
Jessica