Copy each expression and then simplify it without using a calculator. Be sure to show all steps.
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.
See part (a) for strategy.