Question

monday january 13, 2026 math change to a mixed numbers 2. $5\frac{3}{8}$ 3. $\frac{27}{8}$ = 4. $\frac{10}{7}$ = 5. $\frac{24}{4}$ = change to an improper fraction 8. $3\frac{2}{5}$ 7. $1\frac{4}{5}$ 10. $1\frac{5}{6}$ 9. $11\frac{1}{8}$ 12. $3\frac{4}{7}$ 11. $3\frac{1}{4}$

Explanation:

Step1: Divide numerator by denominator

For $\frac{27}{8}$: $27 \div 8 = 3$ remainder $3$

Step2: Write as mixed number

$3\frac{3}{8}$

Step1: Divide numerator by denominator

For $\frac{41}{4}$: $41 \div 4 = 10$ remainder $1$

Step2: Write as mixed number

$10\frac{1}{4}$

Step1: Divide numerator by denominator

For $\frac{45}{10}$: $45 \div 10 = 4$ remainder $5$

Step2: Simplify the fraction part

$\frac{5}{10} = \frac{1}{2}$, so $4\frac{1}{2}$

Step1: Divide numerator by denominator

For $\frac{105}{7}$: $105 \div 7 = 15$ remainder $0$

Step2: Write as whole number

$15$

Step1: Divide numerator by denominator

For $\frac{44}{3}$: $44 \div 3 = 14$ remainder $2$

Step2: Write as mixed number

$14\frac{2}{3}$

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Step1: Multiply whole by denominator

For $5\frac{3}{8}$: $5 \times 8 = 40$

Step2: Add numerator, keep denominator

$40 + 3 = 43$, so $\frac{43}{8}$

Step1: Multiply whole by denominator

For $7\frac{1}{5}$: $7 \times 5 = 35$

Step2: Add numerator, keep denominator

$35 + 1 = 36$, so $\frac{36}{5}$

Step1: Multiply whole by denominator

For $2\frac{2}{5}$: $2 \times 5 = 10$

Step2: Add numerator, keep denominator

$10 + 2 = 12$, so $\frac{12}{5}$

Step1: Multiply whole by denominator

For $11\frac{7}{8}$: $11 \times 8 = 88$

Step2: Add numerator, keep denominator

$88 + 7 = 95$, so $\frac{95}{8}$

Step1: Multiply whole by denominator

For $1\frac{2}{5}$: $1 \times 5 = 5$

Step2: Add numerator, keep denominator

$5 + 2 = 7$, so $\frac{7}{5}$

Step1: Multiply whole by denominator

For $3\frac{1}{7}$: $3 \times 7 = 21$

Step2: Add numerator, keep denominator

$21 + 1 = 22$, so $\frac{22}{7}$

Step1: Multiply whole by denominator

For $8\frac{1}{6}$: $8 \times 6 = 48$

Step2: Add numerator, keep denominator

$48 + 1 = 49$, so $\frac{49}{6}$

Answer:

Mixed Numbers:

1. $5\frac{3}{8} = \frac{43}{8}$
2. $\frac{45}{10} = 4\frac{1}{2}$
3. $\frac{27}{8} = 3\frac{3}{8}$
4. $\frac{105}{7} = 15$
5. $\frac{41}{4} = 10\frac{1}{4}$
6. $\frac{44}{3} = 14\frac{2}{3}$

Improper Fractions:

1. $7\frac{1}{5} = \frac{36}{5}$
2. $2\frac{2}{5} = \frac{12}{5}$
3. $11\frac{7}{8} = \frac{95}{8}$
4. $1\frac{2}{5} = \frac{7}{5}$
5. $3\frac{1}{7} = \frac{22}{7}$
6. $8\frac{1}{6} = \frac{49}{6}$