$1 \frac{3}{4} \div 2 \frac{1}{3} =$
Answer (1)
Convert the mixed fractions to improper fractions: 1 4 3 = 4 7 and 2 3 1 = 3 7 .
Rewrite the division as multiplication by the reciprocal: 4 7 ÷ 3 7 = 4 7 × 7 3 .
Multiply the fractions: 4 7 × 7 3 = 28 21 .
Simplify the fraction: 28 21 = 4 3 . The final answer is 4 3 .
Explanation
Understanding the Problem We are given the expression 1 4 3 ÷ 2 3 1 . We need to evaluate this expression and find the result.
Converting to Improper Fractions First, we convert the mixed fractions to improper fractions.
1 4 3 = 4 1 × 4 + 3 = 4 4 + 3 = 4 7
2 3 1 = 3 2 × 3 + 1 = 3 6 + 1 = 3 7
Dividing Fractions Now we rewrite the division as multiplication by the reciprocal.
4 7 ÷ 3 7 = 4 7 × 7 3
Multiplying Fractions Next, we multiply the fractions.
4 7 × 7 3 = 4 × 7 7 × 3 = 28 21
Simplifying the Fraction Finally, we simplify the resulting fraction to its simplest form.
28 21 = 4 × 7 3 × 7 = 4 3
Final Answer Therefore, 1 4 3 ÷ 2 3 1 = 4 3 .
Examples
Fractions are used in everyday life, such as when cooking, baking, or measuring ingredients. For example, if a recipe calls for 1 4 3 cups of flour and you only want to make half the recipe, you would need to divide 1 4 3 by 2. Understanding how to divide fractions is essential for accurately adjusting recipes and ensuring the desired outcome.
