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:

Divide. \newline78÷14=\frac{7}{8}\div\frac{1}{4}=_____

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Multiply and divide rational numbersright chevron icon

Full solution

Q. Divide. \newline78÷14=\frac{7}{8}\div\frac{1}{4}=_____
  1. Multiply fractions by reciprocal: To divide one fraction by another, we multiply the first fraction by the reciprocal of the second fraction. 78÷14=78×41\frac{7}{8} \div \frac{1}{4} = \frac{7}{8} \times \frac{4}{1}
  2. Multiply numerators and denominators: Now, we multiply the numerators together and the denominators together.\newline78×41=(7×4)(8×1)=288\frac{7}{8} \times \frac{4}{1} = \frac{(7 \times 4)}{(8 \times 1)} = \frac{28}{8}
  3. Simplify fraction: Simplify the fraction.\newlineThe fraction 288\frac{28}{8} can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 44.\newline288=(28÷4)(8÷4)\frac{28}{8} = \frac{(28 \div 4)}{(8 \div 4)}=72= \frac{7}{2}

More problems from Multiply and divide rational numbers

Question
Simplify. Write your answer as a proper or improper fraction in simplest form.\newline109110=□□\frac{\frac{10}{9}}{\frac{1}{10}} = \frac{\square}{\square}
Get tutor helpright-arrow

Posted 1 month ago

Question
Let aa and bb be rational numbers, and let bb be non-zero. Is ab\frac{a}{b} rational or irrational?\newlineChoose 11 answer:\newline(A) Rational\newline(B) Irrational\newline(C) It can be either rational or irrational
Get tutor helpright-arrow

Posted 4 months ago

Question
Let aa be a non-zero rational number and bb be an irrational number. Is ab\frac{a}{b} rational or irrational? Choose 11 answer: \newline(A) Rational \newline(B) Irrational \newline(C) It can be either rational or irrational
Get tutor helpright-arrow

Posted 4 months ago

Question
What is the slope of y=6x+2 y=6 x+2 ?
Get tutor helpright-arrow

Posted 4 months ago

Question
15+4h=13 \frac{1}{5}+4 h=\frac{1}{3} \newlineWhat is the value of h h in the equation?
Get tutor helpright-arrow

Posted 2 months ago

Question
27x+117x=35 \frac{2}{7} x+\frac{11}{7} x=\frac{3}{5} \newlineGiven the equation, what is the value of 13x 13 x ?
Get tutor helpright-arrow

Posted 10 days ago

Question
3x+4(2−y)=5x 3 x+4(2-y)=5 x \newline2−y=6x 2-y=6 x \newlineConsider the given system of equations. If (x,y) (x, y) is the solution to the system, then what is the value of xy \frac{x}{y} ?
Get tutor helpright-arrow

Posted 26 days ago

Question
What is the y y -intercept of the graph of y=3x+7 y=3 x+7 ?
Get tutor helpright-arrow

Posted 4 months ago

Question
y=x+4 y=x+4 \newliney+34=7x2−x+1 \frac{y+3}{4}=7 x^{2}-x+1 \newlineIf (a,b) (a, b) is a solution to the system of equations shown and a>0 a>0 , what is the value of a a ?
Get tutor helpright-arrow

Posted 4 months ago

Question
Express 00.09390939 as a fraction.
Get tutor helpright-arrow

Posted 2 months ago

View all (45)