1 1/2 Times 3 1/2 Times 7

less than a minute read Jun 17, 2024
1 1/2 Times 3 1/2 Times 7

Multiplying Mixed Numbers: 1 1/2 x 3 1/2 x 7

This article will guide you through multiplying the mixed numbers 1 1/2, 3 1/2, and 7.

Converting Mixed Numbers to Fractions

Before multiplying, we need to convert the mixed numbers into improper fractions:

  • 1 1/2: (1 x 2) + 1 = 3, so 1 1/2 is equivalent to 3/2.
  • 3 1/2: (3 x 2) + 1 = 7, so 3 1/2 is equivalent to 7/2.

Multiplying Fractions

Now, we can multiply the fractions:

(3/2) x (7/2) x 7 = (3 x 7 x 7) / (2 x 2 x 1) = 147/4

Converting Back to a Mixed Number

Finally, we convert the improper fraction back to a mixed number:

147 / 4 = 36 3/4

Therefore, 1 1/2 x 3 1/2 x 7 is equal to 36 3/4.

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