What is 8 3/4 - 7 1/2

1 answer:

6 0

let's firstly convert the mixed fractions to improper fractions and then subtract, bearing in mind that the LCD of 4 and 2 is 4.

$\bf \stackrel{mixed}{8\frac{3}{4}}\implies \cfrac{8\cdot 4+3}{8}\implies \stackrel{improper}{\cfrac{35}{4}}~\hfill \stackrel{mixed}{7\frac{1}{2}}\implies \cfrac{7\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{15}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{35}{4}-\cfrac{15}{2}\implies \stackrel{\textit{using the LCD of 4}}{\cfrac{(1)35~~-~~(2)15}{4}}\implies \cfrac{35-30}{4}\implies \cfrac{5}{4}$

You might be interested in

A rectangular box has dimensions 12 by 16 by 21, as shown here:

professor190 [17]

Answer: 29

Step-by-step explanation:

d = √(l2 + w2 + h2)

d = √(12^2+ 16^2+ 21^2) = 29

3 0

2 years ago

Colin drew the floor plan of his bedroom shown below. What is the area of his bedroom in square feet?

labwork [276]

512 because multiply each number together

4 0

2 years ago

I have an hour to finish, help a girl out

mr_godi [17]

If you're going to use technology (Brainly) to solve this problem, you might find you get a quicker answer using the technology of your graphing calculator.

It is often convenient to cast the problem in the form f(θ) = 0. You can do that by adding 1 to both sides of the equation.

$4\sqrt{2}\cos{(\theta)}+4=0\\ \cos{(\theta)}+\dfrac{1}{\sqrt{2}}=0\qquad\mbox{divide by $4\sqrt{2}$}\\ \cos{(\theta)}=\dfrac{-\sqrt{2}}{2}\qquad\mbox{subtract $\dfrac{1}{\sqrt{2}}$}\\\\ \theta=\{\dfrac{3\pi}{4},\dfrac{5\pi}{4}\}\qquad\mbox{determine the corresponding angles}$