Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

(c)
3(1)/(2)×2(1)/(4)

(c) $3 \frac{1}{2} \times 2 \frac{1}{4}$

View step-by-step help

View step-by-step help

Roots of integers

Full solution

Q. (c)

3 \frac{1}{2} \times 2 \frac{1}{4}

Convert to Improper Fractions: Convert mixed numbers to improper fractions. $\newline$ $3\frac{1}{2}$ can be converted to an improper fraction by multiplying the whole number $3$ by the denominator $2$ and adding the numerator $1$ , which gives us $3\times 2 + 1 = 7$ , so $3\frac{1}{2}$ becomes $\frac{7}{2}$ . $\newline$ $2\frac{1}{4}$ can be converted to an improper fraction by multiplying the whole number $2$ by the denominator $4$ and adding the numerator $1$ , which gives us $3$ $1$ , so $2\frac{1}{4}$ becomes $3$ $3$ .
Multiply Fractions: Multiply the improper fractions. $\newline$ Now we multiply the numerators together and the denominators together. $\newline$ $(\frac{7}{2}) \times (\frac{9}{4}) = (\frac{7\times9}{2\times4}) = \frac{63}{8}$
Simplify Fraction: Simplify the fraction if possible. $63/8$ is already in its simplest form because $63$ and $8$ have no common factors other than $1$ .

More problems from Roots of integers

Question

Find the real-number root.

\newline

\sqrt{16}

\newline

\newline

Write your answer in simplified form.

\newline

\_\_\_\_

Posted 2 months ago

Question

Find the real-number root.

\newline

\sqrt{\frac{9}{16}}

\newline

Simplify your answer and write it as a decimal or as a proper or improper fraction.

\newline

\_\_\_\_\_

Posted 2 months ago

Question

Find the real-number root using a calculator. Round your answer to the nearest thousandth.

\newline

\newline

Posted 2 months ago

Question

Multiply. Write your answer in simplest form.

\newline

\sqrt{273} \times \sqrt{42}

\newline

Posted 1 month ago

Question

\newline

\sqrt{\frac{63}{4}}

\newline

Posted 2 months ago

Question

Simplify. Rationalize the denominator.

\newline

\frac{-4}{9 - \sqrt{2}}

\newline

Posted 2 months ago

Question

z

\newline

16 = \sqrt{z}

\newline

z =

Posted 2 months ago

Question

Simplify the radical expression.

\sqrt{14x^{14}}

Write your answer in the form

A

\sqrt{B}

A\sqrt{B}

A

B

are constants or expressions in

x

. Use at most one radical in your answer, and at most one absolute value symbol in your expression for

A

Posted 2 months ago

Question

Simplify the radical expression.

\newline

\sqrt{12x^{12}}

\newline

Write your answer in the form

A

\sqrt{B}

A\sqrt{B}

A

B

are constants or expressions in

x

. Use at most one radical in your answer, and at most one absolute value symbol in your expression for

A

\newline

\underline{\hspace{3cm}}

Posted 2 months ago

Question

What is the value of

\sin \left(\frac{5 \pi}{6}\right) ?

\newline

1

\newline

-\frac{\sqrt{3}}{2}

\newline

-\frac{\sqrt{2}}{2}

\newline

\frac{1}{2}

\newline

150

Posted 4 months ago