7/8-4/5. When subtracting two fractions, we must have a common denominator. A common denominator is a factor in which goes into both 8 and 5.
1.) Common factor: 45. 45 goes into and 8 and 5. If we list out all the factors of 8 and 5, 45 will be the lowest common factor.
2.) We need to multiply by a number to get 45 for each denominator. We can a one-step equation to figure out what we need to multiply 8 by and 5 by to get 45.
X=the factor of 8 that will get us 45.
8x=45
8x/8=45/8
x=5.625.
Y=factor of 5 that will get us 45.
5y=45
5y/5=45/5
y=9.
3.) We now know that we need to multiply 8 by 5.625 and 5 by 9 in order to get 45 as the denominator for both fractions.
7/8x5.625-4/5x9
7/45-4/45.
4.) Whatever is done to the denominator must be done to the numerator.
7x5.625/45-4x9/45
39.375/45-36/45
5.) We now have common denominators, so we simple subtract the numerators ONLY. We DO NOT subtract the denominators.
39.375/45-36/45=3.375/45.
Therefore, 3.375/45 is your answer.
Answer:
23
Step-by-step explanation:
(b - 1) + b + (b + 1) = 72
Simplify
3b = 72
b = 24
a = 24 - 1
a = 23
A line in standard form is written as:
Ax + By = C
Multiply y = 3/4x + 1/3 on both sides by 12.
This gives 12y = 9x + 4 or
9x - 12y = -4 and
9x + (-12)y = -4 are the equation written in
srandard form.
Answer:
The decomposition is as shown in the attachment below
Step-by-step explanation:
Where A, B, C, D, E, F, G, H, I, J are numerical value of the coefficients that can be determined by method of comparing coefficients. Hence , there are two methods for solving partial fractions ; Cover up method and method of comparing coefficients.
The form of the partial fraction decomposition is as shown in the attachment.
