Each diagram below is shaded into
equal sections. Shade three-quarters of each
Let’s start with this square. The square has already been divided
into quarters or four equal parts. The question asks us to shade
three-quarters of each diagram: one-quarter, two-quarters, three-quarters.
The second diagram is a little bit
more tricky. The diagram has been drawn using
six squares. Each of those squares has been
divided into two equal parts. So we need to multiply the six
squares by two. So the six squares have been
divided into 12 triangles. If we divide 12 by four, that tells
us how many triangles there are in one-quarter of the diagram.
We need to shade
three-quarters. So we need to multiply three by
three. So three-quarters of this diagram
means we need to shade nine triangles. So we shaded nine out of 12
triangles, which is the same as three-quarters.
This circle has been divided into
eight equal parts or eighths. And we can see that one-quarter is
equal to two-eighths. We need to shade
three-quarters. If one-quarter is two-eighths, then
three-quarters is six-eighths.
We shaded three-quarters of the
square, which had already been divided into quarters. The second diagram had been divided
into 12 equal triangles. We shaded nine of the 12 triangles
because three-quarters is equal to nine-twelfths. The third diagram, the circle, had
been divided into eighths or eight equal parts. One-quarter is equal to
two-eighths, so three-quarters is equal to six-eighths. So we shaded six-eighths because
this is the same as shading three-quarters.