Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

-=24quad-=25quad-=26
Solve for
u.

u-(3)/(4)=8(3)/(5)

$\equiv 24 \quad \equiv 25 \quad \equiv 26$ $\newline$ Solve for $u$ . $\newline$ $u-\frac{3}{4}=8 \frac{3}{5}$

View step-by-step help

View step-by-step help

Solve equations with the distributive property

Full solution

Q.

\equiv 24 \quad \equiv 25 \quad \equiv 26

\newline

Solve for

u

.

\newline

u-\frac{3}{4}=8 \frac{3}{5}

Convert to Improper Fraction: Convert the mixed number $8\left(\frac{3}{5}\right)$ to an improper fraction. $\newline$ To convert a mixed number to an improper fraction, multiply the whole number by the denominator of the fraction and add the numerator. Then place the result over the original denominator. $\newline$ $8\left(\frac{3}{5}\right) = \left(8 \times 5 + 3\right) / 5$ $\newline$ $8\left(\frac{3}{5}\right) = \left(40 + 3\right) / 5$ $\newline$ $8\left(\frac{3}{5}\right) = 43/5$
Replace with Improper Fraction: Rewrite the equation with the improper fraction. $\newline$ Replace the mixed number in the equation with the improper fraction. $\newline$ $u - \frac{3}{4} = \frac{43}{5}$
Find Common Denominator: Find a common denominator to combine the fractions. $\newline$ The common denominator for $4$ and $5$ is $20$ . Convert each fraction to an equivalent fraction with a denominator of $20$ . $\newline$ $(\frac{3}{4}) = (\frac{3 \times 5}{4 \times 5}) = \frac{15}{20}$ $\newline$ $(\frac{43}{5}) = (\frac{43 \times 4}{5 \times 4}) = \frac{172}{20}$ $\newline$ Now the equation is: $\newline$ $u - \frac{15}{20} = \frac{172}{20}$
Add to Isolate u: Add $\frac{15}{20}$ to both sides to isolate $u$ . $\newline$ $u - \frac{15}{20} + \frac{15}{20} = \frac{172}{20} + \frac{15}{20}$ $\newline$ $u = \frac{172}{20} + \frac{15}{20}$
Combine Fractions: Combine the fractions on the right side of the equation. $\newline$ Add the numerators and keep the denominator the same. $\newline$ $u = \frac{172 + 15}{20}$ $\newline$ $u = \frac{187}{20}$
Convert to Mixed Number: Convert the improper fraction back to a mixed number if necessary. $\newline$ To convert an improper fraction to a mixed number, divide the numerator by the denominator. $\newline$ $\frac{187}{20} = 9$ with a remainder of $7$ $\newline$ So, $\frac{187}{20} = 9\left(\frac{7}{20}\right)$

More problems from Solve equations with the distributive property

Question

Write the sentence as an equation.

\newline

138

is equal to the quotient of

w

30

\newline

/

) if you want to use a division sign.

\newline

Posted 2 months ago

Question

\newline

(\frac{2}{7})x= -14

\newline

x =

Posted 3 months ago

Question

(\frac{8}{5})x= 32

Posted 3 months ago

Question

\newline

2+2

\newline

Posted 3 days ago

Question

-27x+18y=54

Posted 4 months ago

Question

\newline

48.5-0.434=

Posted 4 months ago

Question

\newline

96.7-0.163=

Posted 4 months ago

Question

\newline

4.43-0.283=

Posted 4 months ago

Question

\newline

3.05-0.338=

Posted 4 months ago

Question

\newline

6.168-0.432=

Posted 4 months ago