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
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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.
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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.
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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.
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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.