Multiplying Mixed Numbers: 1 1/6 x 6 3/4
This article will guide you through the steps of multiplying the mixed numbers 1 1/6 and 6 3/4.
Step 1: Convert Mixed Numbers to Improper Fractions
- 1 1/6: Multiply the whole number (1) by the denominator (6) and add the numerator (1): 1 * 6 + 1 = 7. Keep the same denominator (6). This gives us 7/6.
- 6 3/4: Multiply the whole number (6) by the denominator (4) and add the numerator (3): 6 * 4 + 3 = 27. Keep the same denominator (4). This gives us 27/4.
Step 2: Multiply the Fractions
- Multiply the numerators: 7 * 27 = 189
- Multiply the denominators: 6 * 4 = 24
Now we have the fraction 189/24.
Step 3: Simplify the Fraction (if possible)
Both 189 and 24 are divisible by 3. Simplifying the fraction gives us 63/8.
Step 4: Convert the Improper Fraction back to a Mixed Number
- Divide the numerator (63) by the denominator (8): 63 ÷ 8 = 7 with a remainder of 7.
- The quotient (7) becomes the whole number part of the mixed number.
- The remainder (7) becomes the numerator of the fraction.
- The denominator remains the same (8).
Therefore, 1 1/6 x 6 3/4 equals 7 7/8.