10(5)/(9)-1(7)/(32)*(4(14)/(15)+3(1)/(15))=

Simplify Fractions: Step 1: Simplify the fractions inside the parentheses. Calculate 4(14)/(15) and 3(1)/(15). 4(14)/(15) = 4 + 14/15 = 4.9333... 3(1)/(15) = 3 + 1/15 = 3.0666...Add Results: Step 2: Add the results from Step 1. 4.9333... + 3.0666... = 8

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

10(5)/(9)-1(7)/(32)*(4(14)/(15)+3(1)/(15))=

$10 \frac{5}{9}-1 \frac{7}{32} \cdot\left(4 \frac{14}{15}+3 \frac{1}{15}\right)=$

View step-by-step help

Home

Math Problems

Precalculus

Operations with rational exponents

Full solution

10 \frac{5}{9}-1 \frac{7}{32} \cdot\left(4 \frac{14}{15}+3 \frac{1}{15}\right)=

Simplify Expression: Step $1$ : Simplify the expression inside the parentheses. $\newline$ $4\left(\frac{14}{15}\right) + 3\left(\frac{1}{15}\right) = 4 + 3 = 7$ .
Multiply by $-1$ : Step $2$ : Multiply the simplified result by $-1\frac{7}{32}$ . $\newline$ $-1\frac{7}{32} \times 7 = -7\frac{7}{32} = -\frac{49}{32}$ .
Subtract from $10$ : Step $3$ : Subtract the result from $10\left(\frac{5}{9}\right)$ . $\newline$ $10\left(\frac{5}{9}\right) - \left(-\frac{49}{32}\right) = \frac{95}{9} + \frac{49}{32}.$
Find Common Denominator: Step $4$ : Find a common denominator and add the fractions. $\newline$ Common denominator of $9$ and $32$ is $288$ . $\newline$ $(\frac{95}{9})\cdot(\frac{32}{32}) + (\frac{49}{32})\cdot(\frac{9}{9}) = \frac{3040}{288} + \frac{441}{288} = \frac{3481}{288}.$