3/4 × 2/3 (garden area)
Imagine a small garden patch. It's three-fourths of a yard wide and two-thirds of a yard long. What's its area?
To find area, we multiply width by length — three-fourths times two-thirds.
Here's a square — one whole square yard — to picture this.
Slice the square into four equal columns. Each column is one-fourth of the width.
Shade three of those columns. That's our garden's width — three-fourths.
Now slice the square into three equal rows. Each row is one-third of the height.
Shade two of the rows. That's our length — two-thirds.
The garden is where both shadings overlap. Six small rectangles fit inside it.
And the whole square is split into twelve small rectangles in all.
So the area is six out of twelve — six twelfths of a square yard.
Six twelfths simplifies. Six and twelve share a factor of six, so it becomes one half.
The garden's area is one half of a square yard. Multiplying fractions gives us a smaller piece — that makes sense!