Final answer:
To multiply 6/5 by 25/24, you multiply the numerators (6 by 25) and the denominators (5 by 24) and then simplify the resulting fraction, which is 150/120 or 5/4, equal to 1.25.
Step-by-step explanation:
The question asks us to multiply two fractions, 6/5 and 25/24. Multiplying fractions involves multiplying the numerators (the top numbers) together and the denominators (the bottom numbers) together. In this case, we multiply 6 by 25 to get the numerator and 5 by 24 to get the denominator.
The multiplication steps are as follows:
- Multiply the numerators: 6 × 25 = 150.
- Multiply the denominators: 5 × 24 = 120.
- Write the result as a fraction: 150/120.
- Reduce the fraction to its simplest form: 150/120 = 5/4, or 1.25 in decimal form.
So, the product of 6/5 and 25/24 is 1.25.