Question

3 2/7 × 1 1/3 + 3 2/7 × 1 2/3

Answer 1

3 2/7*(1 1/3+1 2/3)= 3 2/7 * 3 =23/7*3=9 6/7

Answer 2

To solve this expression, you can follow these steps:

Step 1: Convert the mixed numbers into improper fractions. Step 2: Perform the multiplications. Step 3: Add the results.

Let's start with the conversion of mixed numbers to improper fractions:

3 2/7 = (7 * 3 + 2)/7 = 23/7 1 1/3 = (3 * 1 + 1)/3 = 4/3 1 2/3 = (3 * 1 + 2)/3 = 5/3

Now, we have:

(23/7) * (4/3) + (23/7) * (5/3)

Next, we multiply the fractions:

(23/7) * (4/3) = (23 * 4) / (7 * 3) = 92/21

(23/7) * (5/3) = (23 * 5) / (7 * 3) = 115/21

Now, we add the results:

92/21 + 115/21 = (92 + 115)/21 = 207/21

To simplify the fraction, you can find the greatest common divisor (GCD) of 207 and 21, which is 3, and then divide both the numerator and denominator by 3:

(207/21) ÷ (3/3) = (207/21) ÷ 1 = 207/21

So, the final result is 207/21, which can be simplified to 9 and 6/21 or 9 and 2/7 as a mixed number.

Therefore, 3 2/7 × 1 1/3 + 3 2/7 × 1 2/3 = 9 2/7