Calculating 1 2/3 times 3 4/5
This article will guide you through the steps of multiplying mixed numbers.
Understanding Mixed Numbers
Mixed numbers combine whole numbers and fractions. For example, 1 2/3 represents one whole and two-thirds. To multiply mixed numbers, we first need to convert them into improper fractions.
Converting Mixed Numbers to Improper Fractions
1. Multiply the whole number by the denominator of the fraction. In the case of 1 2/3, we multiply 1 by 3 to get 3.
2. Add the numerator of the fraction. This gives us 3 + 2 = 5.
3. Keep the same denominator. So, 1 2/3 becomes 5/3.
Similarly, 3 4/5 can be converted to 19/5.
Multiplying Improper Fractions
Now that we have our improper fractions, we can multiply them:
(5/3) * (19/5)
1. Multiply the numerators: 5 * 19 = 95
2. Multiply the denominators: 3 * 5 = 15
3. Simplify the resulting fraction: 95/15 can be simplified to 19/3
Converting Back to a Mixed Number
Finally, we can convert 19/3 back to a mixed number:
1. Divide the numerator by the denominator: 19 ÷ 3 = 6 with a remainder of 1.
2. The quotient becomes the whole number: 6
3. The remainder becomes the numerator: 1
4. Keep the same denominator: 3
Therefore, 1 2/3 times 3 4/5 equals 6 1/3.