Question

3 1/5-4/5 x (5 1/2-3 1/4)

Answer 1

3 1/5-4/5 x (5 1/2-3 1/4) = 1 2/5
    1) 5 1/2 - 3 1/4 = 5 2/4 - 3 1/4 =2 1/4
    2) 4/5 * 2 1/4 = 4/5 * 9/4 = 9/5 = 1 4/5
    3) 3 1/5 - 1 4/5 = 2 6/5 - 1 4/5 = 1 2/5

Answer 2

To solve the expression, follow these steps:

Step 1: Convert mixed numbers to improper fractions:

• $3 \frac{1}{5} = \frac{16}{5}$ (To convert, multiply the whole number (3) by the denominator (5), then add the numerator (1))
• $5 \frac{1}{2} = \frac{11}{2}$
• $3 \frac{1}{4} = \frac{13}{4}$

Step 2: Simplify the expression inside the parentheses:

• $5 \frac{1}{2} - 3 \frac{1}{4}$
• $\frac{11}{2} - \frac{13}{4}$

Step 3: Find a common denominator, which is 4:

• $\frac{11}{2} = \frac{11}{2} \times \frac{2}{2} = \frac{22}{4}$
• $\frac{13}{4} = \frac{13}{4} \times \frac{1}{1} = \frac{13}{4}$

Step 4: Subtract the fractions inside the parentheses:

• $\frac{22}{4} - \frac{13}{4} = \frac{22-13}{4} = \frac{9}{4}$

Step 5: Now, the expression becomes:

• $\frac{16}{5} - \frac{4}{5} \times \frac{9}{4}$

Step 6: Perform the multiplication:

• $\frac{4}{5} \times \frac{9}{4} = \frac{4 \times 9}{5 \times 4} = \frac{36}{20}$

Step 7: Subtract the fractions:

• $\frac{16}{5} - \frac{36}{20}$

Step 8: Find a common denominator, which is 20:

• $\frac{16}{5} = \frac{16}{5} \times \frac{4}{4} = \frac{64}{20}$

Step 9: Subtract the fractions:

• $\frac{64}{20} - \frac{36}{20} = \frac{64-36}{20} = \frac{28}{20}$

Step 10: Simplify the fraction, if possible:

• $\frac{28}{20} = \frac{14}{10} = \frac{7}{5}$

So, the final answer is: $3 \frac{1}{5} - \frac{4}{5} \times (5 \frac{1}{2} - 3 \frac{1}{4}) = 3 \frac{1}{5} - \frac{7}{5}$