$\frac{4}{6} \div \frac{3}{12}$
Answer (2)
Rewrite the division as multiplication by the reciprocal: 6 4 ÷ 12 3 = 6 4 × 3 12 .
Multiply the fractions: 6 4 × 3 12 = 6 × 3 4 × 12 = 18 48 .
Simplify the fraction: 18 48 = 3 8 .
The final answer is 3 8 .
Explanation
Rewrite as Multiplication We are asked to evaluate the expression 6 4 ÷ 12 3 . Dividing by a fraction is the same as multiplying by its reciprocal. So, we will rewrite the expression as a multiplication problem.
Multiply by Reciprocal We rewrite the division as multiplication by the reciprocal of the second fraction: 6 4 ÷ 12 3 = 6 4 × 3 12
Multiply Fractions Now, we multiply the fractions: 6 4 × 3 12 = 6 × 3 4 × 12 = 18 48
Simplify the Fraction Next, we simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 48 and 18 is 6. We divide both the numerator and the denominator by 6: 18 48 = 18 ÷ 6 48 ÷ 6 = 3 8
Final Answer The simplified fraction is 3 8 . We can also express this as a mixed number: 2 3 2 .
Examples
Fractions are used in everyday life, such as when cooking, baking, or measuring ingredients. For example, if a recipe calls for 4 3 cup of flour, and you only want to make half of the recipe, you need to divide 4 3 by 2, which is the same as multiplying by 2 1 . Understanding how to divide fractions is essential for adjusting recipes and other real-world measurements.
To solve 6 4 ÷ 12 3 , we rewrite it as multiplication with the reciprocal, resulting in 6 4 × 3 12 = 18 48 . After simplifying, we find the answer is 3 8 .
;
