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Home > CC2 > Chapter Ch2 > Lesson 2.3.1 > Problem 2-117

2-117.

Copy each expression and then simplify it without using a calculator. Be sure to show all steps.  

Compute without a calculator

  1. This sum can be represented with a diagram: Diagram expression with 2 equal sized rectangles: Left Rectangle + Right Rectangle. Left rectangle, 4 rows of 2 columns, with 5 shaded. Right Rectangle, 4 rows of 4 columns, with 9 shaded.

    Find a common denominator to add the two fractions. Changes: additional columns added to left rectangle, to make it 4 rows of 4 columns, with 10 shaded.

    Changes: After right rectangle, an equal sign and the fraction 19 sixteenths.

    Diagram expression with 2 equal sized rectangles: Left Rectangle + Right Rectangle. Left rectangle, 4 rows of 2 columns, with 5 shaded. Right Rectangle, 4 rows of 4 columns, with 9 shaded.

    Changes: additional columns added to left rectangle, to make it 4 rows of 4 columns, with 10 shaded.

    Changes: After right rectangle, an equal sign and the fraction 19 sixteenths.

  2. See part (a) for strategy.

  3. Draw squares on your paper like this: 8 square tiles. 

    8 square tiles.

    Cross off . What is left?