Question

3 1/3*3 13/53*3 1/88

Answer 1

***

$3\frac{1}{3}\cdot \:3\frac{13}{53}\cdot \:3\frac{1}{88}=\frac{(3\cdot \:3)+1}{3} \cdot \:\frac{(3\cdot \:53)+13}{53}\cdot \: \frac{(3\cdot \:88)+1}{88} =\frac{10}{3}\cdot \frac{172}{53}\cdot \frac{265}{88}=$

$\frac{10\cdot \:172\cdot \:265}{3\cdot \:53\cdot \:88} = \frac{455800}{13992}= \frac{1075}{33}= 32\frac{19}{33}$

Answer 2

To multiply mixed numbers, we can follow these steps:

Step 1: Convert the mixed numbers to improper fractions. Step 2: Multiply the numerators. Step 3: Multiply the denominators. Step 4: Simplify the resulting fraction, if possible.

Let's apply these steps to the given expression:

3 1/3 * 3 13/53 * 3 1/88

Step 1: Converting mixed numbers to improper fractions:

3 1/3 = (3 * 3 + 1)/3 = 10/3 3 13/53 = (3 * 53 + 13)/53 = 172/53 3 1/88 = (3 * 88 + 1)/88 = 265/88

Step 2: Multiplying the numerators:

10/3 * 172/53 * 265/88 = (10 * 172 * 265) / (3 * 53 * 88)

Step 3: Multiplying the denominators:

(10 * 172 * 265) / (3 * 53 * 88) = 760600 / 132264

Step 4: Simplifying the fraction:

760600 = 10 * 76060 = 10 * 2 * 38030 = 10 * 2 * 2 * 19015 132264 = 2 * 2 * 2 * 3 * 7 * 787

The fraction cannot be simplified further because 19015 and 787 are prime numbers.

Therefore, the result is:

(10 * 2 * 2 * 19015) / (2 * 2 * 2 * 3 * 7 * 787) = 760600/132264