Math Problem Statement
Solution
Let's go over the multiplication of mixed numbers and fractions step by step. I'll solve the first few problems in detail.
38.
- Convert the mixed number to an improper fraction:
- Now multiply: So, the answer is 2.
39.
Multiply the two fractions: So, the answer is .
42.
- Convert the mixed number to an improper fraction:
- Now multiply: So, the answer is 1.
43.
Multiply the two fractions: So, the answer is .
Would you like me to continue solving the remaining problems or provide additional details on any specific ones?
Here are 5 follow-up questions you can explore:
- How do you convert a mixed number to an improper fraction?
- What happens when you multiply two improper fractions?
- How can you simplify a product of fractions?
- What is the relationship between multiplying fractions and whole numbers?
- How do you convert an improper fraction back to a mixed number?
Tip: Always simplify your fractions at the end of a multiplication process to get the most reduced form.
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Math Problem Analysis
Mathematical Concepts
Multiplication of Fractions
Conversion of Mixed Numbers to Improper Fractions
Simplification of Fractions
Formulas
Convert mixed number to improper fraction: a b/c = (a * c + b) / c
Multiplying fractions: (a/b) * (c/d) = (a * c) / (b * d)
Simplification: Reduce fractions by finding the greatest common divisor
Theorems
Fundamental Theorem of Fractions
Simplification by Common Factors
Suitable Grade Level
Grades 6-8