Question

Multiply and reduce to lowest form and convert into a mixed fraction:

Answer 1

Answer:

a) 9

b)

$1 \frac{1}{3}$

c) 15

Step-by-step explanation:

The first step is to cancel out the fraction's denominator if possible.

a)

$15 \times \frac{3}{5}$

We can cancel the 5 out since 15 divided by 5 is 3. The answer that comes out is

$3 \times \frac{3}{1}$

Since 3/1 is 3, we can now simplify the values:

$3 \times 3 = 9$

b)

$4 \times \frac{1}{3}$

4 is indivisible by three and gives a non-whole value. This is not what we need here.

Instead we should do the division rule and find the remainder.

In this case, 4 divided by 3 gives 1 with a remainder of 1.

$4 \times \frac{1}{3} = \frac{4}{3}$

After we simplify the non-mixed fraction, we have to change it into a mixed fraction, which consists of a whole number and a fraction. We can split it into the following:

$\frac{4}{3} = 1r1$

The r1 is just the remainder of the fraction. Since we cannot remove 1 from the remainder, we add it back into the fraction's denominator of 3. This gives:

$\frac{4}{3} = 1 + \frac{1}{3} = 1 \frac{1}{3}$

c)

$\frac{5}{2} \times 6$

For this part, we can cancel out 2 since 6 is divisible by 2. This gives:

$\frac{5}{1} \times 3$

Since 5/1 is 5,

we can now solve part c:

$5 \times 3 = 15$