Multiplying Mixed Numbers: 1 1/3 x 5 3/4
This article will guide you through the process of multiplying mixed numbers, specifically 1 1/3 x 5 3/4, and expressing the answer in fraction form.
Step 1: Convert Mixed Numbers to Improper Fractions
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1 1/3: Multiply the whole number (1) by the denominator (3) and add the numerator (1). Keep the same denominator. (1 x 3) + 1 = 4. So, 1 1/3 becomes 4/3.
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5 3/4: Multiply the whole number (5) by the denominator (4) and add the numerator (3). Keep the same denominator. (5 x 4) + 3 = 23. So, 5 3/4 becomes 23/4.
Step 2: Multiply the Improper Fractions
Now we have: (4/3) x (23/4).
- Multiply the numerators: 4 x 23 = 92
- Multiply the denominators: 3 x 4 = 12
This gives us 92/12.
Step 3: Simplify the Resulting Fraction
- Find the greatest common factor (GCD) of 92 and 12. The GCD is 4.
- Divide both numerator and denominator by 4: 92 ÷ 4 = 23 and 12 ÷ 4 = 3.
Therefore, the simplified answer is 23/3.
Conclusion
By following these steps, we have successfully multiplied 1 1/3 by 5 3/4 and obtained the answer in fraction form, which is 23/3. Remember, always simplify the resulting fraction to its lowest terms.