Multiply 2/3 by 1 1/4 . Write the answer in simplest form.(1 point)
To multiply 2/3 by 1 1/4, we first need to convert the mixed number 1 1/4 into an improper fraction.
1 1/4 = (4/4) + (1/4) = 5/4
Now, we can multiply 2/3 by 5/4:
(2/3) * (5/4) = (2*5)/(3*4) = 10/12
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2:
10/12 = (10/2)/(12/2) = 5/6
Therefore, the answer in simplest form is 5/6.
To multiply 2/3 by 1 1/4, let's convert the mixed number 1 1/4 into an improper fraction.
First, multiply the whole number (1) by the denominator (4), and then add the numerator (1):
1 x 4 + 1 = 5
So, 1 1/4 is equal to 5/4.
Next, multiply the numerators (2 x 5) to get the new numerator, and multiply the denominators (3 x 4) to get the new denominator:
2/3 x 5/4 = (2 x 5) / (3 x 4) = 10/12
To simplify the fraction, notice that both the numerator and denominator are divisible by 2. Divide both by 2:
10/2 / 12/2 = 5/6
So, 2/3 multiplied by 1 1/4 is equal to 5/6 in simplest form.
To multiply fractions, you need to multiply the numerators (the top numbers) together and the denominators (the bottom numbers) together.
First, let's convert the mixed number 1 1/4 to an improper fraction. To do this, we multiply the whole number (1) by the denominator (4) and add the numerator (1).
1 x 4 + 1 = 5
So, 1 1/4 is equivalent to the improper fraction 5/4.
Now, let's multiply the fractions:
2/3 * 5/4 = (2 * 5) / (3 * 4) = 10/12.
Next, we need to simplify the fraction. Both the numerator and denominator are divisible by 2, so we divide both by 2:
10/12 divided by 2/2 = 5/6.
Therefore, the final answer, in simplest form, is 5/6.