Multiply 2/3 by 1 1/4. Write the answer in simplest form
To multiply 2/3 and 1 1/4, we need to convert the mixed number 1 1/4 into an improper fraction.
To convert 1 1/4 into an improper fraction, we multiply the whole number (1) by the denominator of the fraction (4) and add the numerator (1).
1 * 4 + 1 = 5
So, 1 1/4 can be written as the improper fraction 5/4.
Now, we can multiply the fractions:
2/3 * 5/4 = (2 * 5) / (3 * 4) = 10 / 12
Next, we simplify the fraction. The greatest common divisor (GCD) of 10 and 12 is 2.
Dividing both the numerator and denominator by 2 gives us:
10/12 = 5/6
So, 2/3 multiplied by 1 1/4 is equal to 5/6.
To multiply 2/3 by 1 1/4, you first need to convert the mixed number 1 1/4 into an improper fraction.
To do this, multiply the whole number (1) by the denominator (4), and add the numerator (1), giving you 5. Write this number (5) over the original denominator (4) to get 5/4.
Now that you have 2/3 multiplied by 5/4, you can multiply the numerators (2 x 5) to get 10, and multiply the denominators (3 x 4) to get 12.
So the answer is 10/12.
To simplify this fraction, divide both the numerator and denominator by their greatest common factor (GCF), which is 2.
10 divided by 2 is 5, and 12 divided by 2 is 6.
Therefore, the final answer, in simplest form, is 5/6.