Divide: (5)/(6)÷(1)/(2)

Multiply by Reciprocal: To divide one fraction by another, we multiply the first fraction by the reciprocal of the second fraction.Find Quotient: The reciprocal of (1)/(2) is (2)/(1) because flipping the numerator and denominator of (1)/(2) gives us (2)/(1).Perform Multiplication: Now we multiply (5)/(6) by (2)/(1) to find the quotient.Simplify Result: Perform the multiplication: (5)/(6) * (2)/(1) = (5*2)/(6*1).Divide by GCD: Simplify the multiplication: (5*2)/(6*1) = 10/6.Final Simplification: The fraction 10/6 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2.Simplify the fraction: 10/6 ÷ 2/2 = (10÷2)/(6÷2) = 5/3.

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Math Problems

Algebra 2

Divide polynomials using long division

Full solution

Q. Divide:

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\frac{5}{6}\div\frac{1}{2}

Multiply by Reciprocal: To divide one fraction by another, we multiply the first fraction by the reciprocal of the second fraction.
Find Quotient: The reciprocal of $(\frac{1}{2})$ is $(\frac{2}{1})$ because flipping the numerator and denominator of $(\frac{1}{2})$ gives us $(\frac{2}{1})$ .
Perform Multiplication: Now we multiply $(5)/(6)$ by $(2)/(1)$ to find the quotient.
Simplify Result: Perform the multiplication: (\frac{$5$}{$6$}) \times (\frac{$2$}{$1$}) = (\frac{$5$\times $2$}{$6$\times $1$})\.
Divide by GCD: Simplify the multiplication: \((5 \times 2)/(6 \times 1) = 10/6.
Final Simplification: The fraction $\frac{10}{6}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $2$ .
Final Simplification: The fraction $\frac{10}{6}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $2$ . Simplify the fraction: $\frac{10}{6} \div \frac{2}{2} = \left(\frac{10\div2}{6\div2}\right) = \frac{5}{3}.$