Question

2) 3 1/3*15 12/13 -3 1/3 *6 12/13

Answer 1

.........................

Answer 2

To solve this expression, let's follow the order of operations (PEMDAS/BODMAS):

1. Parentheses/Brackets
2. Exponents/Orders
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)

The expression is:

$3 \frac{1}{3} \times 15 \frac{12}{13} - 3 \frac{1}{3} \times 6 \frac{12}{13}$

Step 1: Convert mixed numbers to improper fractions. $3 \frac{1}{3} = \frac{10}{3}$ and $6 \frac{12}{13} = \frac{90}{13}$

Now the expression becomes:

$\frac{10}{3} \times 15 \frac{12}{13} - \frac{10}{3} \times \frac{90}{13}$

Step 2: Multiply the fractions and mixed numbers.

$\frac{10}{3} \times \frac{ (15 \times 13) + 12}{13} - \frac{10}{3} \times \frac{90}{13}$

Simplify:

$\frac{10}{3} \times \frac{ (195 + 12)}{13} - \frac{10}{3} \times \frac{90}{13}$

$\frac{10}{3} \times \frac{207}{13} - \frac{10}{3} \times \frac{90}{13}$

Step 3: Multiply the fractions:

$\frac{10 \cdot 207}{3 \cdot 13} - \frac{10 \cdot 90}{3 \cdot 13}$

Simplify:

$\frac{2070}{39} - \frac{900}{39}$

Step 4: Subtract the fractions:

$\frac{2070 - 900}{39}$

$=\frac{1170}{39}$

Simplify the fraction:

$=\frac{390}{13}$

So, $3 \frac{1}{3} \times 15 \frac{12}{13} - 3 \frac{1}{3} \times 6 \frac{12}{13} = \frac{390}{13}$.