Now do these: (1) 3 3/8 (2) 2 2/3 (3) 3 3/4 (4) 3 3/4

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ScanSolve AI Tutor · Accepted Answer

Okay, nwekechidubem247. I see the image again. My apologies for the confusion in the previous response regarding the problem number. The problem I solved previously, $4\frac{1}{4} - 2\frac{1}{2}$ , was a problem with handwritten work on the page, not one of the numbered problems (1) through (4) in the "Now do these" section.

Let's solve problem (1) from the "Now do these" section: $3\frac{3}{8} - \frac{2}{3}$ .

Convert the mixed number to an improper fraction.
$3\frac{3}{8} = \frac{(3 \times 8) + 3}{8} = \frac{24 + 3}{8} = \frac{27}{8}$
Find a common denominator for the fractions $\frac{27}{8}$ and $\frac{2}{3}$ .
The least common multiple (LCM) of 8 and 3 is 24.
Convert both fractions to equivalent fractions with the common denominator.
$\frac{27}{8} = \frac{27 \times 3}{8 \times 3} = \frac{81}{24}$ $\frac{2}{3} = \frac{2 \times 8}{3 \times 8} = \frac{16}{24}$
Subtract the fractions.
$\frac{81}{24} - \frac{16}{24} = \frac{81 - 16}{24} = \frac{65}{24}$
Convert the improper fraction back to a mixed number.
$65 \div 24 = 2 \text{ with a remainder of } 65 - (2 \times 24) = 65 - 48 = 17$
So, the result is $2\frac{17}{24}$ .

The final answer is $\boxed{2\frac{17}{24}}$ .

Now do these: (1) 3 3/8 (2) 2 2/3 (3) 3 3/4 (4) 3 3/4

Step-by-step solution

Convert the mixed number to an improper fraction.

Find a common denominator for the fractions $\frac{27}{8}$ and $\frac{2}{3}$ .

Convert both fractions to equivalent fractions with the common denominator.

Subtract the fractions.

Convert the improper fraction back to a mixed number.

Still stuck on this one?

More Mathematics Questions

Now do these: (1) 3 3/8 (2) 2 2/3 (3) 3 3/4 (4) 3 3/4

Step-by-step solution

Convert the mixed number to an improper fraction.

Find a common denominator for the fractions 278\frac{27}{8}827​ and 23\frac{2}{3}32​.

Convert both fractions to equivalent fractions with the common denominator.

Subtract the fractions.

Convert the improper fraction back to a mixed number.

Still stuck on this one?

More Mathematics Questions

Find a common denominator for the fractions $\frac{27}{8}$ and $\frac{2}{3}$ .