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:

CaIculate 0.75÷3//4-0.75÷3//8+0.375÷3//8-0.0625÷1//8.

Calculate 0.75÷3/4−0.75÷3/8+0.375÷3/8−0.0625÷1/8 0.75 \div 3 / 4-0.75 \div 3 / 8+0.375 \div 3 / 8-0.0625 \div 1 / 8 .

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 2right chevron icon
Multiply and divide rational expressionsright chevron icon

Full solution

Q. Calculate 0.75÷3/4−0.75÷3/8+0.375÷3/8−0.0625÷1/8 0.75 \div 3 / 4-0.75 \div 3 / 8+0.375 \div 3 / 8-0.0625 \div 1 / 8 .
  1. Understand Notation: First, we need to understand the notation used. The double slash (//) is not standard in mathematical operations, but it seems to be used here to denote fractions. So, we interpret 3//43//4 as 34\frac{3}{4}, 3//83//8 as 38\frac{3}{8}, and 1//81//8 as 18\frac{1}{8}. Now, let's start by simplifying each term separately.
  2. Simplify First Term: Simplify the first term: 0.75÷340.75 \div \frac{3}{4}. To divide by a fraction, we multiply by its reciprocal. So, we have 0.75×430.75 \times \frac{4}{3}.\newlineCalculation: 0.75×43=34×43=10.75 \times \frac{4}{3} = \frac{3}{4} \times \frac{4}{3} = 1.
  3. Simplify Second Term: Simplify the second term: 0.75÷380.75 \div \frac{3}{8}. Again, we multiply by the reciprocal of the fraction. So, we have 0.75×830.75 \times \frac{8}{3}.\newlineCalculation: 0.75×83=34×83=20.75 \times \frac{8}{3} = \frac{3}{4} \times \frac{8}{3} = 2.
  4. Simplify Third Term: Simplify the third term: 0.375÷380.375 \div \frac{3}{8}. Multiply by the reciprocal of the fraction. So, we have 0.375×830.375 \times \frac{8}{3}.\newlineCalculation: 0.375×83=38×83=10.375 \times \frac{8}{3} = \frac{3}{8} \times \frac{8}{3} = 1.
  5. Simplify Fourth Term: Simplify the fourth term: 0.0625÷180.0625 \div \frac{1}{8}. Multiply by the reciprocal of the fraction. So, we have 0.0625×810.0625 \times \frac{8}{1}.\newlineCalculation: 0.0625×8=116×8=0.50.0625 \times 8 = \frac{1}{16} \times 8 = 0.5.
  6. Combine Simplified Terms: Now, we combine all the simplified terms: 1−2+1−0.51 - 2 + 1 - 0.5.\newlineCalculation: 1−2+1−0.5=0−0.5=−0.51 - 2 + 1 - 0.5 = 0 - 0.5 = -0.5.

More problems from Multiply and divide rational expressions

Question
Evaluate the expression for t=−4.4 t = -4.4 .\newlineWrite your answer in simplest form.\newline` frac{t - 4}{t - 2} =` ____
Get tutor helpright-arrow

Posted 7 months ago

Question
Simplify. Write your answer using whole numbers and variables.\newlineg3g2−4g\frac{g}{3g^2 - 4g}
Get tutor helpright-arrow

Posted 5 months ago

Question
Simplify. Express your answer as a single fraction in simplest form. 32−5p33\frac{3}{2} - \frac{5p^3}{3} ______
Get tutor helpright-arrow

Posted 5 months ago

Question
Simplify. Express your answer as a single fraction in simplest form. \newline1+v5w31 + \frac{v^5w}{3}\newline______
Get tutor helpright-arrow

Posted 5 months ago

Question
Solve for h h .\newline−5h−2=−4h−3 \frac{-5}{h - 2} = \frac{-4}{h - 3} \newlineThere may be 11 or 22 solutions.\newlineh= h = _____ or h= h = _____
Get tutor helpright-arrow

Posted 7 months ago

Question
What is the equation of the vertical asymptote of y=1x+9y = \frac{1}{x + 9} ? _____
Get tutor helpright-arrow

Posted 9 months ago

Question
What is the excluded value for y=1x−9−9y = \frac{1}{x - 9} - 9 ?\newline______
Get tutor helpright-arrow

Posted 9 months ago

Question
Simplify. Write your answer using whole numbers and variables.\newline9k+49k2+4k\frac{9k + 4}{9k^2 + 4k}\newline______
Get tutor helpright-arrow

Posted 9 months ago

Question
Divide. Write your answer in simplest form.\newlineg−110g3+25g2÷(g−1)\frac{g- 1}{10g^3 + 25g^2} \div (g- 1)\newline______
Get tutor helpright-arrow

Posted 9 months ago

Question
Simplify. Express your answer as a single fraction in simplest form. \newline5−3t31\frac{5 - \frac{3}{t^3}}{1}\newline______
Get tutor helpright-arrow

Posted 9 months ago

View all (112)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant