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▦ Area with Fractions

Find the area of rectangles with fractional sides by multiplying fractions straight across.

lessons

~15 min

to learn

🔢 Math

subject

Ages 6–12

level

Start the course →

What you’ll learn

Area Is Length Times WidthFind the area of a rectangle as length times width by counting unit squares.Area measures the space inside a shape. For a rectangle it equals length times width, because unit squares fill it in rows and columns. A 4 by 3 rectangle holds 3 rows of 4 squares, which is 12 square units.
Fractions of a SquareMultiply two fractions and picture the result as part of a unit square.A rectangle 1/2 wide and 1/3 tall covers 1/6 of a unit square. To multiply two fractions, multiply the tops together and the bottoms together: 1/2 x 1/3 = 1/6.
Multiplying Two Fractions for AreaCompute fractional areas and judge whether an area is under or over one square unit.Multiply straight across to find fractional areas: 1/2 x 1/2 = 1/4, 2/3 x 3/4 = 1/2, and 3/4 x 2 = 1 1/2. Two fractions below one shrink the area, while a fraction times a whole number can grow past one square.

Questions this course answers

How do you find the area of a rectangle?

Area is length multiplied by width, which counts the unit squares inside.

1/2 x 1/3 = ?

Multiply tops (1x1=1) and bottoms (2x3=6) to get 1/6.

2/3 x 3/4 = ?

2x3=6 over 3x4=12 is 6/12, which simplifies to 1/2.

A rectangle is 3/4 m by 2 m. Its area?

3/4 x 2 = 6/4, which is 1 1/2 square meters.

To multiply two fractions, you...

Multiply the top numbers together and the bottom numbers together.

Grounded in trusted sources

Khan Academy
Britannica Kids
NCTM Illuminations
Math is Fun (mathsisfun.com)

Every Wunder lesson is built from real, reputable sources — never invented.

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