Multiply. Write your answer as a fraction in simplest form. 2/3 × 9/4
The Correct Answer and Explanation is:
To multiply the fractions 23\frac{2}{3}32 and 94\frac{9}{4}49, follow these steps:
Step 1: Multiply the numerators
The numerator of the first fraction is 2, and the numerator of the second fraction is 9. Multiply these two numbers:2×9=182 \times 9 = 182×9=18
Step 2: Multiply the denominators
The denominator of the first fraction is 3, and the denominator of the second fraction is 4. Multiply these two numbers:3×4=123 \times 4 = 123×4=12
Step 3: Form the new fraction
Now that we’ve multiplied the numerators and the denominators, we can form the new fraction:1812\frac{18}{12}1218
Step 4: Simplify the fraction
Next, simplify the fraction 1812\frac{18}{12}1218. To do this, find the greatest common divisor (GCD) of 18 and 12. The GCD of 18 and 12 is 6. Divide both the numerator and the denominator by 6:18÷612÷6=32\frac{18 \div 6}{12 \div 6} = \frac{3}{2}12÷618÷6=23
Final Answer:
The product of 23×94\frac{2}{3} \times \frac{9}{4}32×49 in simplest form is:32\frac{3}{2}23
Explanation:
Multiplying fractions involves multiplying the numerators and denominators directly. However, after multiplying, you should always check whether the resulting fraction can be simplified. Simplification helps ensure that the fraction is expressed in its simplest form, making it easier to work with in future calculations or problem-solving tasks.
