Multiply 2/3 by 1 1/4. Write the answer in simplest form

Answer 1

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.