Question

Naquita is at it again! She says that you can’t solve the following problem without finding common denominators first: 1 and 2/3 x 1/4.

a) 5/12
b) 1/8
c) 7/6
d) 3/4

Answer 1

The solution to the problem 1 and 2/3 x 1/4 is 5/12. To get this answer, one must convert the mixed number to an improper fraction, multiply the numerators, and then multiply the denominators. Simplifying is not needed in this instance.

Step-by-step explanation:

To solve the multiplication of fractions problem given by 1 and 2/3 x 1/4, you don't need to find common denominators. This is because when multiplying fractions, unlike when adding or subtracting, you simply multiply the numerators (the top numbers) and then multiply the denominators (the bottom numbers). First, convert the mixed number 1 and 2/3 to an improper fraction which would be 5/3 (since 1 x 3 = 3 and 3 + 2 = 5). Now, multiply the numerators, 5 x 1, and the denominators, 3 x 4. Simplify the resulting fraction if necessary. Let's calculate:

• Multiply the numerators: 5 x 1 = 5
• Multiply the denominators: 3 x 4 = 12

The result is the fraction 5/12, which cannot be simplified further. So, the correct answer is (a) 5/12.