1 1/12
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(1/3, 3/4) = 12
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(13×44)+(34×33)=?
Complete the multiplication and the equation becomes
4/12+9/12=?
The two fractions now have like denominators so you can add the numerators.
Then:
4+9/12=13/12
This fraction cannot be reduced.
The fraction
13/12
is the same as
13÷12
Convert to a mixed number using
long division for 13 ÷ 12 = 1R1, so
1312=1 1/12
Therefore:
13+34=1 11/2
Answer:
x = -2
Step-by-step explanation:
Arrange 6x + y= -5, -6x + 12y=96 vertically:
6x + y= -5
-6x + 12y=96 Now combine like terms:
--------------------
13y = 91
Solving for y by dividing both sides by 13: y = 7
Find x by substituting 7 for y in the second equation: -6x + 12(7) = 96
Then -6x = -84 + 96, or:
-6x = 12, and so x = -2
-2,3 is (x1,y1) and (4,-5) is (x2,y2) so you do y2-y1/x2-x1
y2-y1 is -5-3 which is -8 and x2-x1 is 4-(-2) which is 6 so you get
-8/6= -4/3
Answer:
Step-by-step explanation:
1/4 x 20x - 1/4 x 28<2x - 6 + 2
5x - 28/4<2x - 4
5x - 2x<-4 + 28/4
3x<-4/1 + 28/4
3x<-16 + 28/4
3x<12/4
3x<3
3x/3<3/3
x<1