Beatrice makes a jar of dry soup mix. The ingredients are: 1\frac {3}{4}
4
3

= \frac {7}{4}
4
7

cups uncooked rice
\frac {1}{2}
2
1

cup dry lentils
1\frac {2}{3}
3
2

= \frac{5}{3}
3
5

cups uncooked pasta
\large \frac {1}{3}
3
1

cup beef bouillon
\frac {1}{4}
4
1

cup dried onion flakes
\frac {1}{2}
2
1

cup dried peas

How much soup mix does this recipe make?

Answer the questions to find out.

The sum \frac {7}{4}
4
7

+ \frac {1}{2}
2
1

+ \frac{5}{3}
3
5

+ \large \frac {1}{3}
3
1

+ \frac {1}{4}
4
1

+ \frac {1}{2}
2
1

gives the amount of mix.

1. Which property could you use to change the order of the addends? (2 points)

2. Which property could you use to change the grouping of the addends? (2 points)

3. Use these properties to rewrite \frac {7}{4}
4
7

+ \frac {1}{2}
2
1

+ \frac{5}{3}
3
5

+ \large \frac {1}{3}
3
1

+ \frac {1}{4}
4
1

+ \frac {1}{2}
2
1

in a way that makes the addition easier. Explain how your changes simplify the addition. (3 points)

4. Simplify your sum to find the total amount of soup mix. Show your work. (3 points)