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:

Simplify:\newline9874\dfrac{\frac{9}{8} }{\frac{7}{4} }\newlineWrite your answer as a proper or improper fraction in simplest form.

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Simplify complex fractionsright chevron icon

Full solution

Q. Simplify:\newline9874\dfrac{\frac{9}{8} }{\frac{7}{4} }\newlineWrite your answer as a proper or improper fraction in simplest form.
  1. Divide by Reciprocal: What is the multiplication form of 98\frac{9}{8} divided by 74\frac{7}{4}?\newlineDividing by a fraction is the same as multiplying by its reciprocal.\newline98÷74=98×47\frac{9}{8} \div \frac{7}{4} = \frac{9}{8} \times \frac{4}{7}
  2. Multiply Fractions: Multiply 98\frac{9}{8} by 47\frac{4}{7}. \newline98×47\frac{9}{8} \times \frac{4}{7} \newline=(9×4)(8×7)= \frac{(9 \times 4)}{(8 \times 7)} \newline=3656= \frac{36}{56}
  3. Simplify Fraction: Simplify the fraction 3656\frac{36}{56} to its simplest form.\newlineBoth the numerator and the denominator are divisible by 88.\newline3656=(36÷456÷4)\frac{36}{56} = \left(\frac{36 \div 4}{56 \div 4}\right)\newline=914= \frac{9}{14}

More problems from Simplify complex fractions

Question
Simplify:\newline109110\dfrac{\frac{10}{9}}{\frac{1}{10}}\newlineWrite your answer in simplest form.
Get tutor helpright-arrow

Posted 5 months 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 10 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 10 months ago

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

Posted 10 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 6 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 3 months 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 7 months ago

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

Posted 10 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 10 months ago

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

Posted 8 months ago

View all (15)

Related topics

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