Procedure: Multiply Mixed Numbers by Converting to Improper Fractions
Multiplying mixed numbers requires first converting each mixed number to an improper fraction, then multiplying numerators and denominators, and finally simplifying. For 2 and 1/3 x 1 and 1/2: convert to 7/3 x 3/2 = 21/6 = 3 and 1/2. The conversion step is essential — you cannot multiply across mixed numbers directly. This 6th grade skill from enVision Mathematics Grade 6 is used in area calculations with fractional dimensions, scaling recipes, and any real-world situation requiring multiplication of fractional quantities.
Key Concepts
To multiply mixed numbers, first convert them into improper fractions. Then, multiply the numerators and multiply the denominators.
Common Questions
How do you multiply mixed numbers?
Convert each mixed number to an improper fraction, then multiply numerators together and denominators together, then simplify. For 2 and 1/3 x 1 and 1/2: 7/3 x 3/2 = 21/6 = 3 and 1/2.
How do you convert a mixed number to an improper fraction?
Multiply the whole number by the denominator, add the numerator, and keep the same denominator. For 2 and 1/3: (2x3 + 1)/3 = 7/3.
Why must you convert before multiplying mixed numbers?
Mixed numbers combine a whole part and a fraction part. To multiply correctly, you need a single fraction representing the entire value. Multiplying parts separately gives wrong results.
What grade multiplies mixed numbers?
Multiplying mixed numbers is a 6th grade skill in enVision Mathematics Grade 6, extending fraction multiplication to the full range of positive rational numbers.
Can you simplify before or after multiplying mixed numbers?
Both work. Simplifying (cross-canceling) before multiplying reduces the numbers you work with. Simplifying after requires reducing the product fraction. Either approach gives the same final answer.
How do you multiply a mixed number by a whole number?
Convert the mixed number to an improper fraction, write the whole number over 1, then multiply. For 2 and 1/3 x 4: 7/3 x 4/1 = 28/3 = 9 and 1/3.