Question

due dec 10 by 11:59pm points 10 submitting an externa available after nov 4 at 12am question 5 4.5 homework text to speech calculator highlighter find 15·2\frac{2}{5} using the distributive property. ()

Explanation:

Step1: Rewrite the mixed number

Rewrite \(2\frac{2}{3}\) as \(2+\frac{2}{3}\). So, \(15\times2\frac{2}{3}=15\times(2 + \frac{2}{3})\)

Step2: Apply the distributive property

By the distributive property \(a\times(b + c)=a\times b+a\times c\), here \(a = 15\), \(b=2\), \(c=\frac{2}{3}\). Then \(15\times(2+\frac{2}{3})=15\times2+15\times\frac{2}{3}\)

Step3: Calculate each product

\(15\times2 = 30\) and \(15\times\frac{2}{3}=\frac{15\times2}{3}=10\)

Step4: Add the results

\(30 + 10=40\)

Answer:

\(40\)