3/4x14/15
To simplify the expression (3/4) * (14/15), you can follow these steps:
First, multiply the numerators:
3 * 14 = 42
Next, multiply the denominators:
4 * 15 = 60
Now, you have the fraction 42/60.
To simplify this fraction, find the greatest common divisor (GCD) of 42 and 60, which is 6.
Divide both the numerator and denominator by 6:
42/6 = 7
60/6 = 10
Therefore, the simplified form of (3/4) * (14/15) is 7/10.
To solve the expression (3/4) * (14/15), follow these steps:
Step 1: Multiply the numerators (top numbers) together: 3 * 14 = 42.
Step 2: Multiply the denominators (bottom numbers) together: 4 * 15 = 60.
Step 3: The product of the numerators becomes the new numerator, and the product of the denominators becomes the new denominator: 42/60.
Step 4: Simplify the fraction if possible. In this case, both 42 and 60 can be divided by 6, so divide both numbers by 6: 42 ÷ 6 = 7, and 60 ÷ 6 = 10.
Step 5: The simplified form of (3/4) * (14/15) is 7/10.
So, (3/4) * (14/15) = 7/10.
To calculate the value of this expression, 3/4 * 14/15, you need to multiply the two fractions together.
Here's how to do it step by step:
Step 1: Multiply the numerators (the numbers on the top) together: 3 * 14 = 42
Step 2: Multiply the denominators (the numbers on the bottom) together: 4 * 15 = 60
Step 3: Write the product of the numerators as the new numerator: 42
Step 4: Write the product of the denominators as the new denominator: 60
So, the result is 42/60.
However, we can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 6 in this case.
Step 5: Divide the numerator (42) by the GCD (6): 42 ÷ 6 = 7
Step 6: Divide the denominator (60) by the GCD (6): 60 ÷ 6 = 10
The simplified fraction is 7/10.
Therefore, 3/4 multiplied by 14/15 equals 7/10.