Multiply 2/3 by 1 1/4 write the answer in simplest form
To multiply 2/3 by 1 1/4, we first need to convert the mixed number 1 1/4 into an improper fraction.
To convert 1 1/4 to an improper fraction, we multiply the whole number (1) by the denominator of the fraction (4), and then add the numerator (1):
1 * 4 = 4
4 + 1 = 5
So, 1 1/4 as an improper fraction is 5/4.
Now, we can multiply:
(2/3) * (5/4) = (2 * 5) / (3 * 4) = 10/12
To simplify the answer, we need to find the greatest common divisor (GCD) of 10 and 12. The GCD of 10 and 12 is 2.
Dividing both the numerator and denominator by 2, we get:
10/2 / 12/2 = 5/6
So, the answer, in simplest form, is 5/6.
To multiply 2/3 by 1 1/4, we can first convert the mixed number 1 1/4 to an improper fraction.
1 1/4 can be written as (1 * 4 + 1) / 4 = 5/4.
Now we can multiply the fractions:
(2/3) * (5/4) = (2 * 5) / (3 * 4) = 10/12.
Lastly, we can simplify the fraction:
10/12 can be reduced by dividing both the numerator and the denominator by their greatest common factor, which is 2.
10/12 equals (10/2) / (12/2) = 5/6.
So, 2/3 multiplied by 1 1/4 in simplest form is equal to 5/6.