1 2/3 Times 3 1/2

3 min read Jun 17, 2024
1 2/3 Times 3 1/2

Let's Multiply Mixed Numbers: 1 2/3 x 3 1/2

This article will guide you through multiplying the mixed numbers 1 2/3 and 3 1/2.

Understanding Mixed Numbers

Before we start, remember that a mixed number represents a whole number plus a fraction. For example, 1 2/3 is the same as 1 + 2/3.

Converting to Improper Fractions

The easiest way to multiply mixed numbers is to convert them into improper fractions. Here's how:

  • 1 2/3: Multiply the whole number (1) by the denominator (3), and add the numerator (2). Keep the same denominator. This gives us (1*3 + 2)/3 = 5/3.
  • 3 1/2: Multiply the whole number (3) by the denominator (2), and add the numerator (1). Keep the same denominator. This gives us (3*2 + 1)/2 = 7/2.

Multiplication of Improper Fractions

Now we can multiply our improper fractions:

5/3 x 7/2

To multiply fractions, we simply multiply the numerators and the denominators:

(5 x 7) / (3 x 2) = 35/6

Converting Back to a Mixed Number

Finally, we convert our answer, 35/6, back into a mixed number:

  • Divide the numerator (35) by the denominator (6). The quotient is 5 with a remainder of 5.
  • Our answer is 5 5/6.

Conclusion

Therefore, 1 2/3 x 3 1/2 = 5 5/6. By converting mixed numbers to improper fractions, we can easily multiply them.

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