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Arithmetic (all content)

Course: Arithmetic (all content) > Unit 5

Lesson 21: Multiplying fractions
Math
Arithmetic (all content)
Fractions
Multiplying fractions
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Area of rectangles with fraction side lengths

CCSS.Math: 5.NF.B.4
Google Classroom

Problem

The area of the entire figure below is 1 square unit.
A rectangle that has been split into 63 parts, set in 7 rows of 9 parts each. The first nine parts in the top 3 rows are striped to show they are shaded both blue and purple. The tenth parts in the top 3 rows have been shaded blue. The first nine parts in the bottom 4 rows have been shaded purple. The tenth parts in the bottom 4 rows are unshaded. Along the top of the rectangle, the columns are labeled one-tenth. Along the left side of the square, the rows are labeled one-seventh. A bracket along the rectangle's length is labeled 4 ninths. A bracket along the rectangle's width is labeled 5 sevenths.
What is the area of the striped rectangle?
Write your answer as a fraction.
  • Your answer should be
  • an integer, like 6
  • a proper fraction, like 1, slash, 2 or 6, slash, 10
  • an improper fraction, like 10, slash, 7 or 14, slash, 8
of a square unit
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