Multiply 2/3 by 1 1/4. Write the answer in simplest form. Show your work.
To multiply 2/3 by 1 1/4, we need to convert the mixed number 1 1/4 into an improper fraction.
1 1/4 can be written as (1 * 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 factor, which is 2:
10/12 = (10/2) / (12/2) = 5/6.
Therefore, 2/3 multiplied by 1 1/4 is equal to 5/6.
To multiply 2/3 by 1 1/4, we first need to convert the mixed number 1 1/4 to an improper fraction.
1 1/4 as an improper fraction can be written as (4*1 + 1)/4 = 5/4.
Now, we can multiply 2/3 by 5/4.
(2/3) * (5/4) = (2*5) / (3*4) = 10/12
However, to simplify the fraction, we can reduce by dividing both the numerator and denominator by their common factor, which is 2.
10/12 = (10/2) / (12/2) = 5/6.
Therefore, 2/3 multiplied by 1 1/4 is equal to 5/6 in simplest form.