The image contains a worksheet with multiple math problems involving fractions. The questions are numbered…

Question

The image contains a worksheet with multiple math problems involving fractions. The questions are numbered from 5 to 20, and each involves operations with mixed numbers.

ScanSolve AI Tutor · Accepted Answer

The image shows a series of subtraction problems involving mixed numbers. The "house" symbol indicates where the answer should be written. I will solve problem (11) as it has some handwritten work on it.

Problem (11) is: $4\frac{1}{4} - 2\frac{1}{2}$

Convert the mixed numbers to improper fractions.
$4\frac{1}{4} = \frac{(4 \times 4) + 1}{4} = \frac{16 + 1}{4} = \frac{17}{4}$ $2\frac{1}{2} = \frac{(2 \times 2) + 1}{2} = \frac{4 + 1}{2} = \frac{5}{2}$
Find a common denominator for the fractions.
The denominators are 4 and 2. The least common multiple (LCM) of 4 and 2 is 4.
$\frac{5}{2} = \frac{5 \times 2}{2 \times 2} = \frac{10}{4}$
Subtract the improper fractions.
$\frac{17}{4} - \frac{10}{4} = \frac{17 - 10}{4} = \frac{7}{4}$
Convert the improper fraction back to a mixed number.
$\frac{7}{4} = 1\frac{3}{4}$
The handwritten answer $1\frac{1}{2}$ is incorrect.

The final answer is $1\frac{3}{4}$ .

The image contains a worksheet with multiple math problems involving fractions. The questions are numbered from 5 to 20, and each involves operations with mixed numbers.

Answer

Step-by-step solution

Convert the mixed numbers to improper fractions.

Find a common denominator for the fractions.

Subtract the improper fractions.

Convert the improper fraction back to a mixed number.

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