Multiply.

1 2/5 x 4
Write your answer as a mixed number in simplest form.

3 answers

To multiply a whole number by a mixed number, convert the mixed number to an improper fraction, then multiply.

First, convert 2/5 to an improper fraction. Since there are 5 parts in a whole and we have 2 parts, we can write it as 2/5 = 2/5 x 1 = 2/5.

Now, multiply the whole number 1 by the denominator of the fraction (5) and add the numerator (2), which gives us 1 x 5 + 2 = 7.

So, the mixed number 1 2/5 can be written as the improper fraction 7/5.

Next, multiply 7/5 by 4:
7/5 x 4 = (7 x 4)/(5 x 1) = 28/5.

To simplify the fraction 28/5, we can divide both the numerator and the denominator by their greatest common divisor, which is 1. So, the fraction cannot be simplified further.

Therefore, 1 2/5 x 4 = 28/5.
28/5 simplified
To simplify the fraction 28/5, we need to divide the numerator and denominator by their greatest common divisor, which is 1.

Dividing 28 by 1 gives us 28, and dividing 5 by 1 gives us 5.

So, 28/5 simplified is simply 28/5.