Multiplying Mixed Numbers: 1 3/4 times 2 2/3
This article will guide you through multiplying mixed numbers in fraction form, specifically 1 3/4 times 2 2/3.
Step 1: Convert Mixed Numbers to Improper Fractions
- 1 3/4: Multiply the whole number (1) by the denominator (4) and add the numerator (3). Keep the same denominator. This gives us 7/4.
- 2 2/3: Multiply the whole number (2) by the denominator (3) and add the numerator (2). Keep the same denominator. This gives us 8/3.
Step 2: Multiply the Improper Fractions
- Multiply the numerators: 7 x 8 = 56
- Multiply the denominators: 4 x 3 = 12
- This gives us 56/12.
Step 3: Simplify the Resulting Fraction
- Find the greatest common factor (GCD) of 56 and 12, which is 4.
- Divide both the numerator and denominator by 4: 56 / 4 = 14 and 12 / 4 = 3.
Final Answer
Therefore, 1 3/4 times 2 2/3 equals 14/3.
Note: You can also express the answer as a mixed number, which is 4 2/3.