Multiply these two fractions:
$\frac{4}{3} \times \frac{5}{8}=?$
Answer (1)
Multiply the numerators: 4 × 5 = 20 .
Multiply the denominators: 3 × 8 = 24 .
Simplify the resulting fraction 24 20 by dividing both numerator and denominator by their greatest common divisor, which is 4.
The simplified fraction is 6 5 .
Explanation
Understanding the Problem We are asked to multiply two fractions, 3 4 and 8 5 . To do this, we multiply the numerators together and the denominators together.
Multiplying Numerators First, we multiply the numerators: 4 × 5 = 20 .
Multiplying Denominators Next, we multiply the denominators: 3 × 8 = 24 .
Forming the Fraction So, the product of the two fractions is 24 20 . Now, we need to simplify this fraction by finding the greatest common divisor (GCD) of 20 and 24. The GCD of 20 and 24 is 4.
Simplifying the Fraction We divide both the numerator and the denominator by 4: 24 ÷ 4 20 ÷ 4 = 6 5 .
Final Answer Therefore, the product of 3 4 and 8 5 is 6 5 .
Examples
Fractions are used in everyday life, such as when cooking, measuring ingredients, or splitting a bill with friends. For example, if you have a pizza cut into 8 slices and you eat 5 of those slices, you have eaten 8 5 of the pizza. Multiplying fractions helps us understand proportions and ratios in various real-world scenarios.
