Calculating 1 1/3 times 1 2/5
This article will guide you through the steps of multiplying mixed numbers, specifically focusing on 1 1/3 times 1 2/5.
Understanding Mixed Numbers
Mixed numbers consist of a whole number and a fraction. To multiply mixed numbers, we need to convert them into improper fractions.
Converting to Improper Fractions

1 1/3: To convert this, we multiply the whole number (1) by the denominator (3) and add the numerator (1). This gives us 4. We keep the same denominator (3). Therefore, 1 1/3 becomes 4/3.

1 2/5: Similar to the previous step, we multiply the whole number (1) by the denominator (5) and add the numerator (2), resulting in 7. Keeping the same denominator (5), 1 2/5 becomes 7/5.
Multiplying Improper Fractions
Now that we have both mixed numbers as improper fractions, we can multiply them:
(4/3) * (7/5) = (4 * 7) / (3 * 5) = 28/15
Converting Back to a Mixed Number
The result, 28/15, is an improper fraction. To convert it back to a mixed number:

Divide the numerator (28) by the denominator (15). 28 divided by 15 equals 1 with a remainder of 13.

The quotient (1) becomes the whole number of the mixed number.

The remainder (13) becomes the numerator of the fraction.

The denominator (15) stays the same.
Therefore, 28/15 is equivalent to 1 13/15.
Conclusion
Therefore, 1 1/3 times 1 2/5 equals 1 13/15. By converting the mixed numbers into improper fractions, we can easily multiply them and then convert the answer back to a mixed number.