### Video Transcript

π to π is equal to five to
six. Circle the correct statement. π is six-fifths of π, π is
five-sixths of π, π is five eleventh of π, or π is six elevenths of π.

Remember, order matters. So in our fraction, π represents
five parts whereas π represents six parts. Weβre going to divide. We want an equation for π in terms
of π. So weβre going to divide π by
π. In ratio terms, thatβs the same as
dividing six by five. Since we want an equation for π in
terms of π, weβre going to make π the subject. To do that, weβre going to do the
opposite to dividing by π. And thatβs to multiply both sides
of our equation by π. π divided by π multiplied by π
is π. And six-fifths multiplied by π is
six-fifths of π. We can see then that π is
six-fifths of π.

Another way to consider this is to
think about it in terms of a picture. For every five parts which
represent π, π is represented by six parts. This means that one of these little
blocks must represent a fifth of π. Six of those little blocks make up
π. So that means π can be made up by
six lots of a fifth of π. To multiply six by one-fifth, we
make the denominator of six one. We then multiply the two
numerators. Six now multiplied by one is
six. And then we multiply the
denominators. One multiplied by five is five. Once again, weβve shown that π is
six-fifths of π.