Math Problem Statement
-1\dfrac{1}{3} \div 2\dfrac{2}{5} =
Solution
To solve the expression , let's first convert the mixed numbers into improper fractions and then perform the division.
Step 1: Convert mixed numbers to improper fractions.
-
For :
-
For :
So the expression becomes:
Step 2: Division of fractions.
To divide fractions, we multiply by the reciprocal of the second fraction:
Step 3: Multiply the fractions.
Step 4: Simplify the fraction.
Final Answer:
Would you like more details on any of the steps, or do you have any other questions?
Related Questions:
- How do you convert a mixed number to an improper fraction?
- How do you multiply two fractions together?
- Can you explain why we multiply by the reciprocal when dividing fractions?
- What is the process for simplifying a fraction?
- How do you convert an improper fraction back to a mixed number?
Tip: When dividing fractions, always remember to multiply by the reciprocal of the second fraction.
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Math Problem Analysis
Mathematical Concepts
Mixed Numbers
Improper Fractions
Fraction Division
Simplification of Fractions
Formulas
To convert a mixed number to an improper fraction: a\dfrac{b}{c} = \frac{ac + b}{c}
To divide fractions: \frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}
Theorems
Reciprocal of a Fraction
Suitable Grade Level
Grades 5-7