1 1/6 Times 3

2 min read Jun 17, 2024
1 1/6 Times 3

What is 1 1/6 times 3?

This problem involves multiplying a mixed number (1 1/6) by a whole number (3). Here's how to solve it:

Step 1: Convert the mixed number to a fraction.

  • Multiply the whole number part (1) by the denominator of the fraction (6): 1 * 6 = 6.
  • Add the numerator of the fraction (1): 6 + 1 = 7.
  • Keep the same denominator: 7/6.

So, 1 1/6 is equivalent to 7/6.

Step 2: Multiply the fraction by the whole number.

  • Multiply the numerator of the fraction (7) by the whole number (3): 7 * 3 = 21.
  • Keep the denominator the same: 21/6.

Step 3: Simplify the fraction.

  • Both 21 and 6 are divisible by 3.
  • Divide both the numerator and denominator by 3: 21/3 = 7 and 6/3 = 2.

This gives us a simplified fraction of 7/2.

Step 4: Convert the improper fraction back to a mixed number.

  • Divide the numerator (7) by the denominator (2): 7 / 2 = 3 with a remainder of 1.
  • The quotient (3) becomes the whole number part of the mixed number.
  • The remainder (1) becomes the numerator of the fraction.
  • The denominator (2) stays the same.

Therefore, 7/2 is equal to 3 1/2.

Final answer: 1 1/6 times 3 is equal to 3 1/2.

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