Question #92f49

2 Answers
Sep 15, 2017

1 13/84 or 97/84

Explanation:

x-7/12=4/7
First, we add 7/12 to both sides, so instead of the equation being x-7/12, we can make it just x.
So when you add 7/12 to both sides, it will look like this.
x-7/12color(blue)+color(blue)7color(blue)/color(blue)12=4/7color(blue)+color(blue)7color(blue)/color(blue)12
That means
x=4/7+7/12.
To do 4/7+7/12 We find the least common denominator.
7*12=84
Then we adjust fractions based on the least common denominator (84).

(4*12)/84+(7*7)/84

Since the denominators are equal, combine the fractions.

(4*12+7*7)/84

4*12=48 and 7*7=49
49+48=97
Ans: #97/84

To change to a mixed number.
97 has one group of 84 and 13 remaining so it will be 1 13/84.

Ans: 97/84 or 1 13/84.

Sep 17, 2017

If you meant: (x-7)/12=-4/7, x=1/7

If you meant: x-7/12=-4/7,x=1/84

Explanation:

color(green)"If you meant": (x-7)/12=-4/7.

Solve:

(x-7)/12=-4/7

Multiply both sides of the equation by 12.

12xx(x-7)/12=-4/7xx12

Simplify.

color(red)cancel(color(black)(12))^1xx(x-7)/color(red)cancel(color(black)(12))^1=-4/7xx12

x-7=-48/7

Add 7 to both sides of the equation.

x-7+7=-48/7+7

Simplify.

x=-48/7+7

For any whole number, n=n/1.

Rewrite the equation.

x=-48/7+7/1

In order to add or subtract fractions, they must have the same denominator, called the least common denominator, or LCD. We can multiply the denominators to get 7 as the LCD. Now we need to multiply 7/1 by a fraction equal to 1 that will give it the denominator 7. An example is 5/5=1.

x=-48/7+7/1xxcolor(red)7/color(red)7

Simplify.

x=-48/7+49/7

x=1/7

color(blue)"If you meant:" color(white)(.) x-7/12=-4/7.

Solve:

x-7/12=-4/7

Add 7/12 to both sides.

x-7/12+7/12=-4/7+7/12

Simplify.

x=-4/7+7/12

We need to find a common denominator in order to add the fractions. Multiply the denominators 7 and 12 to get 84. Now multiply both fractions by a fraction that equals 1 and makes the denominator 84. For example, 9/9=1. This way the value of the fraction does not change, it just changes in appearance.

x=-4/7xx12/12+7/12xx7/7

Simplify.

x=-48/84+49/84

x=(-48+49)/84

x=1/84