multiply: 30×2\\frac{14}{15}\na 86\nb 62\\frac{14}{15}\nc 60\\frac{14}{15}\nd 88
multiply: 30×2\\frac{14}{15}\na 86\nb 62\\frac{14}{15}\nc 60\\frac{14}{15}\nd 88
Answer
Answer:
A. 86
Explanation:
Step1: Convert mixed number to improper fraction
$2\frac{14}{15}=\frac{2\times15 + 14}{15}=\frac{30+14}{15}=\frac{44}{15}$
Step2: Multiply the whole - number by the improper fraction
$30\times\frac{44}{15}=\frac{30\times44}{15}$
Step3: Simplify the fraction
$\frac{30\times44}{15}=\frac{30}{15}\times44 = 2\times44=88$
Step4: Check for error in previous step
There was a calculation error above. Let's do it another way. $30\times2\frac{14}{15}=30\times(2+\frac{14}{15})$
Step5: Use distributive property
$30\times(2+\frac{14}{15})=30\times2+30\times\frac{14}{15}$
Step6: Calculate each part
$30\times2 = 60$ and $30\times\frac{14}{15}=\frac{30\times14}{15}=28$
Step7: Add the results
$60 + 28=86$