Question

(3 2/3- 1 1/4)• 24/29​

Answer 1

(3 2/3-1 1/4)•24/29=(11/3-5/4)•24/29=(44/12-15/12)•24/29=29/12•24/29=2/1=2

Answer 2

To solve this expression, follow these steps:

Step 1: Convert the mixed numbers to improper fractions.

• $3 \frac{2}{3}$ can be written as $3 + \frac{2}{3}$, which is equal to $\frac{3 \cdot 3 + 2}{3} = \frac{11}{3}$.
• $1 \frac{1}{4}$ can be written as $1 + \frac{1}{4}$, which is equal to $\frac{1 \cdot 4 + 1}{4} = \frac{5}{4}$.

So, the expression becomes $(\frac{11}{3} - \frac{5}{4}) \cdot \frac{24}{29}$.

Step 2: Perform the subtraction inside the parentheses. $\frac{11}{3} - \frac{5}{4} = \frac{44}{12} - \frac{15}{12} = \frac{29}{12}$.

Step 3: Multiply the result by $\frac{24}{29}$. $\frac{29}{12} \cdot \frac{24}{29} = \frac{29 \cdot 24}{12 \cdot 29} = \frac{696}{348} = 2$.

So, the final result of the expression $(3 \frac{2}{3} - 1 \frac{1}{4}) \cdot \frac{24}{29}$ is $2$.