1 3/4 Times 6

3 min read Jun 17, 2024
1 3/4 Times 6

What is 1 3/4 times 6?

Let's break down how to calculate 1 3/4 times 6.

Understanding the Problem

  • Mixed Number: 1 3/4 is a mixed number, combining a whole number (1) and a fraction (3/4).
  • Multiplication: We need to multiply the mixed number by 6.

Steps to Solve

  1. Convert Mixed Number to a Fraction:

    • Multiply the whole number (1) by the denominator of the fraction (4): 1 * 4 = 4
    • Add the numerator (3): 4 + 3 = 7
    • Keep the same denominator (4): 1 3/4 is equal to 7/4.
  2. Multiply the Fractions:

    • Now we have 7/4 * 6.
    • Remember, a whole number like 6 can be written as 6/1.
    • Multiply the numerators: 7 * 6 = 42
    • Multiply the denominators: 4 * 1 = 4
    • The result is 42/4.
  3. Simplify the Answer:

    • 42/4 can be simplified by dividing both numerator and denominator by their greatest common factor, which is 2:
    • 42/2 = 21
    • 4/2 = 2
    • So, 42/4 simplifies to 21/2.
  4. Convert Back to a Mixed Number (Optional):

    • 21/2 is an improper fraction (numerator is larger than denominator).
    • Divide the numerator (21) by the denominator (2): 21 / 2 = 10 with a remainder of 1.
    • The quotient (10) becomes the whole number.
    • The remainder (1) becomes the numerator.
    • The denominator (2) stays the same.
    • Therefore, 21/2 is equal to 10 1/2.

Conclusion

Therefore, 1 3/4 times 6 is equal to 21/2 or 10 1/2.

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