Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Complete the equation. Write the sum as a mixed number. (7)/(5)+(3)/(8)=(◻)/(40)+(◻)/(40)=◻(◻)/(◻)

Complete the equation. Write the sum as a mixed number.\newline75+38=□40+□40=□□□ \frac{7}{5}+\frac{3}{8}=\frac{\square}{40}+\frac{\square}{40}=\square \frac{\square}{\square}

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Precalculusright chevron icon
Operations with rational exponentsright chevron icon

Full solution

Q. Complete the equation. Write the sum as a mixed number.\newline75+38=□40+□40=□□□ \frac{7}{5}+\frac{3}{8}=\frac{\square}{40}+\frac{\square}{40}=\square \frac{\square}{\square}
  1. Find common denominator: Step 11: Find a common denominator for the fractions 75\frac{7}{5} and 38\frac{3}{8}. Since the denominators are 55 and 88, the least common denominator (LCD) is 4040.
  2. Convert fractions to LCD: Step 22: Convert each fraction to have the denominator of 4040. \newline75=(7×85×8)=5640\frac{7}{5} = \left(\frac{7\times8}{5\times8}\right) = \frac{56}{40}\newline38=(3×58×5)=1540\frac{3}{8} = \left(\frac{3\times5}{8\times5}\right) = \frac{15}{40}
  3. Add fractions: Step 33: Add the two fractions. 5640+1540=7140\frac{56}{40} + \frac{15}{40} = \frac{71}{40}
  4. Convert to mixed number: Step 44: Convert the improper fraction to a mixed number. 7140=13140\frac{71}{40} = 1 \frac{31}{40}

More problems from Operations with rational exponents

Question
f(x)=6x+52−14+5x f(x)=\frac{6 x+5}{2-\sqrt{14+5 x}} \newlineWe want to find lim⁡x→−2f(x) \lim _{x \rightarrow-2} f(x) .\newlineWhat happens when we use direct substitution?\newlineChoose 11 answer:\newline(A) The limit exists, and we found it!\newline(B) The limit doesn't exist (probably an asymptote).\newline(C) The result is indeterminate.
Get tutor helpright-arrow

Posted 3 months ago

Question
Let x4+y2=17 x^{4}+y^{2}=17 .\newlineWhat is the value of d2ydx2 \frac{d^{2} y}{d x^{2}} at the point (−2,1) (-2,1) ?\newlineGive an exact number.
Get tutor helpright-arrow

Posted 2 months ago

Question
What is the area of the region bound by the graphs of f(x)=x−2,g(x)=14−x f(x)=\sqrt{x-2}, g(x)=14-x , and x=2 x=2 ?\newlineChoose 11 answer:\newline(A) 196 \frac{19}{6} \newline(B) 992 \frac{99}{2} \newline(C) 1512 \frac{151}{2} \newline(D) 452 \frac{45}{2}
Get tutor helpright-arrow

Posted 1 month ago

Question
Let g(x)=x43 g(x)=x^{\frac{4}{3}} .\newlineg′(27)= g^{\prime}(27)=
Get tutor helpright-arrow

Posted 2 months ago

Question
Simplify ln⁡(1e) \ln \left(\frac{1}{\sqrt{e}}\right) \newlineAnswer:
Get tutor helpright-arrow

Posted 2 months ago

Question
Simplify ln⁡(1e) \ln \left(\frac{1}{e}\right) \newlineAnswer:
Get tutor helpright-arrow

Posted 2 months ago

Question
y=(sin⁡−1(5x2))3y=(\sin^{-1}(5x^{2}))^{3}
Get tutor helpright-arrow

Posted 2 months ago

Question
(10x3−5x2−6x)÷(2x2)\left(10x^{3}-5x^{2}-6x\right)\div\left(2x^{2}\right)
Get tutor helpright-arrow

Posted 2 months ago

Question
y=cos⁡4xsin⁡4xy=\cos^{4}x\sin^{4}x
Get tutor helpright-arrow

Posted 2 months ago

Question
35−310\frac{3}{5}-\frac{3}{10}
Get tutor helpright-arrow

Posted 2 months ago

View all (441)