Work out. (a) \( \frac{1}{2} \) of 12 (b) \( 8 \times \frac{1}{5} \) Give your answer as a mixed number - OCR - GCSE Maths - Question 2 - 2018 - Paper 2

First, calculate the product:

$8 \times \frac{1}{5} = \frac{8}{5}$

To convert ( \frac{8}{5} ) to a mixed number, divide 8 by 5. This gives us 1 with a remainder of 3:

$1 \frac{3}{5}$

So, the answer is ( 1 \frac{3}{5} ).

First, find out how much pizza Isaac eats:

$\text{Portion eaten by Isaac} = \frac{1}{6}$

This leaves:

$\text{Remaining pizza} = 1 - \frac{1}{6} = \frac{5}{6}$

Next, calculate how much pizza Maya eats of the remaining portion:

$\text{Maya's portion} = \frac{3}{5} \times \frac{5}{6} = \frac{3}{6} = \frac{1}{2}$

Now, the total amount eaten by both:

$\text{Total eaten} = \frac{1}{6} + \frac{1}{2} = \frac{1}{6} + \frac{3}{6} = \frac{4}{6} = \frac{2}{3}$

Finally, the fraction of the original pizza left is:

$\text{Fraction left} = 1 - \frac{2}{3} = \frac{1}{3}$

Thus, the answer is ( \frac{1}{3} ).