Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.
7/10 x 5/6
To perform the operation, we multiply the numerators together and the denominators together:
(7/10) x (5/6) = (7 x 5) / (10 x 6) = 35/60
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 5:
35/60 = (35 ÷ 5) / (60 ÷ 5) = 7/12
Therefore, the simplified fraction is 7/12.
To multiply fractions, you multiply the numerators (top numbers) together and the denominators (bottom numbers) together.
For this problem, we have:
(7/10) x (5/6)
Multiplying the numerators gives us 7 x 5 = 35, and multiplying the denominators gives us 10 x 6 = 60.
So, the answer is 35/60. To simplify this fraction further, we can divide both the numerator and denominator by their greatest common divisor, which is 5.
35 ÷ 5 = 7 and 60 ÷ 5 = 12.
Therefore, the final answer is 7/12.
To solve the given multiplication problem and reduce the answer to a simplified fraction, you need to follow these steps:
Step 1: Multiply the numerators (the top numbers) together: 7 x 5 = 35.
Step 2: Multiply the denominators (the bottom numbers) together: 10 x 6 = 60.
Step 3: Write the product of the numerators over the product of the denominators: 35/60.
Step 4: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator.
To find the GCD, you can factor both the numerator and denominator into prime numbers and cancel out any common factors.
The numerator, 35, can be factored into 5 x 7, and the denominator, 60, can be factored into 2 x 2 x 3 x 5.
Step 5: Cancel out the common factors. In this case, the common factor is 5.
35/60 = (5 x 7)/(2 x 2 x 3 x 5) = 7/(2 x 2 x 3) = 7/12.
Thus, the simplified fraction of 7/10 multiplied by 5/6 is 7/12.