$$ \begin{array}{lll} ext { 23. } 2 \frac{1}{4}+1 \frac{3}{3} & ext { 24. } & 2 \frac{1}{4}-1 \frac{3}{5} \ ext { 27. } & 1 \frac{1}{15}-2 \frac{1}{2} & ext { 28. }\end{array} 1 \frac{1}{15} imes 2 \frac{1}{2} $$

Question

$$ \begin{array}{lll}	ext { 23. } 2 \frac{1}{4}+1 \frac{3}{3} & 	ext { 24. } & 2 \frac{1}{4}-1 \frac{3}{5} \ 	ext { 27. } & 1 \frac{1}{15}-2 \frac{1}{2} & 	ext { 28. }\end{array} 1 \frac{1}{15} 	imes 2 \frac{1}{2} $$

UpStudy AI · Accepted Answer

Let's solve each of the problems step by step.

### Problem 23: $$ 2 \frac{1}{4} + 1 \frac{3}{3} $$

1. Convert the mixed numbers to improper fractions:
   - $$ 2 \frac{1}{4} = \frac{2 \times 4 + 1}{4} = \frac{8 + 1}{4} = \frac{9}{4} $$
   - $$ 1 \frac{3}{3} = \frac{1 \times 3 + 3}{3} = \frac{3 + 3}{3} = \frac{6}{3} = 2 $$

2. Now, add the two fractions:
   $$
   \frac{9}{4} + 2 = \frac{9}{4} + \frac{8}{4} = \frac{17}{4}
   $$

3. Convert back to a mixed number:
   $$
   \frac{17}{4} = 4 \frac{1}{4}
   $$

### Problem 24: $$ 2 \frac{1}{4} - 1 \frac{3}{5} $$

1. Convert the mixed numbers to improper fractions:
   - $$ 2 \frac{1}{4} = \frac{9}{4} $$
   - $$ 1 \frac{3}{5} = \frac{1 \times 5 + 3}{5} = \frac{5 + 3}{5} = \frac{8}{5} $$

2. Find a common denominator (which is 20):
   - Convert $$ \frac{9}{4} $$ to $$ \frac{45}{20} $$
   - Convert $$ \frac{8}{5} $$ to $$ \frac{32}{20} $$

3. Now, subtract the two fractions:
   $$
   \frac{45}{20} - \frac{32}{20} = \frac{13}{20}
   $$

### Problem 27: $$ 1 \frac{1}{15} - 2 \frac{1}{2} $$

1. Convert the mixed numbers to improper fractions:
   - $$ 1 \frac{1}{15} = \frac{1 \times 15 + 1}{15} = \frac{15 + 1}{15} = \frac{16}{15} $$
   - $$ 2 \frac{1}{2} = \frac{2 \times 2 + 1}{2} = \frac{4 + 1}{2} = \frac{5}{2} $$

2. Find a common denominator (which is 30):
   - Convert $$ \frac{16}{15} $$ to $$ \frac{32}{30} $$
   - Convert $$ \frac{5}{2} $$ to $$ \frac{75}{30} $$

3. Now, subtract the two fractions:
   $$
   \frac{32}{30} - \frac{75}{30} = \frac{-43}{30}
   $$

### Problem 28: $$ 1 \frac{1}{15} \times 2 \frac{1}{2} $$

1. Convert the mixed numbers to improper fractions:
   - $$ 1 \frac{1}{15} = \frac{16}{15} $$
   - $$ 2 \frac{1}{2} = \frac{5}{2} $$

2. Now, multiply the two fractions:
   $$
   \frac{16}{15} \times \frac{5}{2} = \frac{16 \times 5}{15 \times 2} = \frac{80}{30}
   $$

3. Simplify the fraction:
   $$
   \frac{80}{30} = \frac{8}{3} = 2 \frac{2}{3}
   $$

### Summary of Results:
- **23.** $$ 4 \frac{1}{4} $$
- **24.** $$ \frac{13}{20} $$
- **27.** $$ \frac{-43}{30} $$
- **28.** $$ 2 \frac{2}{3} $$
- **23.** $$ 4 \frac{1}{4} $$ - **24.** $$ \frac{13}{20} $$ - **27.** $$ \frac{-43}{30} $$ - **28.** $$ 2 \frac{2}{3} $$

\( \begin{array}{lll}\text { 23. } 2 \frac{1}{4}+1 \frac{3}{3} & \text { 24. } & 2 \frac{1}{4}-1 \frac{3}{5} \\ \text { 27. } & 1 \frac{1}{15}-2 \frac{1}{2} & \text { 28. }\end{array} 1 \frac{1}{15} \times 2 \frac{1}{2} \)

Solución de inteligencia artificial de Upstudy

Responder

Solución

Bonus Knowledge

preguntas relacionadas

Latest Arithmetic Questions