28. write each expression in the correct answer space to show products less than 1 3/4 and those greater…
28. write each expression in the correct answer space to show products less than 1 3/4 and those greater than 1 3/4. less than 1 3/4 greater than 1 3/4 1 3/4×1 3/4 9/10×1 3/4 1 3/4×1/2 5 1/6×1 3/4 copyright © savvas learning company llc. all rights reserved.
Answer
Answer:
| Less than $1\frac{3}{4}$ | Greater than $1\frac{3}{4}$ |
|---|---|
| $\frac{9}{10}\times1\frac{3}{4}$, $1\frac{3}{4}\times\frac{1}{2}$ | $1\frac{3}{4}\times1\frac{3}{4}$, $5\frac{1}{6}\times1\frac{3}{4}$ |
Explanation:
Step1: Convert mixed - numbers to improper fractions
$1\frac{3}{4}=\frac{4\times1 + 3}{4}=\frac{7}{4}$
Step2: Calculate each product
- For $1\frac{3}{4}\times1\frac{3}{4}=\frac{7}{4}\times\frac{7}{4}=\frac{49}{16}=3\frac{1}{16}>1\frac{3}{4}$
- For $\frac{9}{10}\times1\frac{3}{4}=\frac{9}{10}\times\frac{7}{4}=\frac{63}{40}=1\frac{23}{40}<1\frac{3}{4}$
- For $1\frac{3}{4}\times\frac{1}{2}=\frac{7}{4}\times\frac{1}{2}=\frac{7}{8}<1\frac{3}{4}$
- For $5\frac{1}{6}\times1\frac{3}{4}=\frac{31}{6}\times\frac{7}{4}=\frac{217}{24}=9\frac{1}{24}>1\frac{3}{4}$