Glencoe Math: Course 1, Volume 1
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Glencoe Math: Course 1, Volume 1 View details
1. Decimals and Fractions
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Exercise 11 Page 93

Practice makes perfect
We are given a table that shows the ingredients in an Italian sandwich.

Ingredient Amount (lb)
meat 0.35
vegetables 0.15
secret sauce 0.05
bread 0.05

We want to write each ingredient as a fraction of a pound. This means that we will rewrite each decimal number as a fraction. Let's start with the first one, the weight of the meat! 0.35 This number can be read as 35 hundredths. This means that we can write it as a fraction with a numerator of 35 and with a denominator of 100. Then we can simplify the fraction by dividing both the numerator and denominator by 5.

35/100
35÷ 5/100÷ 5
7/20

Now we will do the same with the amount of the vegetables. 0.15 This number can be read as 15 hundredths. This means that we can write it as a fraction with a numerator of 15 and with a denominator of 100. Let's simplify the fraction by dividing both the numerator and denominator by 5.

15/100
15÷ 5/100÷ 5
3/20

Next, we will rewrite the amount of the secret sauce as a fraction. 0.05 This number can be read as 5 hundredths. This means that we can write it as a fraction with a numerator of 5 and with a denominator of 100. We can divide both the numerator and denominator by 5 again to simplify the fraction.

5/100
5÷ 5/100÷ 5
1/20

The amount of the bread is equal to the amount of the secret sauce, so it is also 120 pound. Let's summarize our calculations in a table.

Ingredient Amount (lb) Fraction of a Pound
meat 0.35 7/20
vegetables 0.15 3/20
secret sauce 0.05 1/20
bread 0.05 1/20
We want to find how much more meat is in the sandwich than vegetables. We can read the amounts of meat and vegetables in the sandwich in the table. Meat:& 0.35 Vegetables:& 0.15 Let's subtract the amount of vegetables from the amount of meat. 0.35 - 0.15 = 0.2 This number can be read as 2 tenths, so we can write it as a fraction with a numerator of 2 and with a denominator of 10. Then we can simplify the fraction by dividing both the numerator and denominator by 2.

2/10
2÷ 2/10÷ 2
1/5

There is 15 pound more meat in the sandwich than vegetables.

We want to find the total weight of the Italian sandwich and write it as a fraction in simplest form. The total weight of the Italian sandwich is the sum of the weights of the meat, the vegetables, the secret sauce and the bread. Let's add up the values from the table! 0.35 + 0.15 + 0.05 + 0.05 = 0.6 The complete sandwich weighs 0.6 pounds. Let's write this as a fraction in simplest form. 0.6 This number can be read as 6 tenths. Let's write it as a fraction with a numerator of 6 and with a denominator of 10. Then we can simplify the fraction by dividing both the numerator and denominator by 2.

6/10
6÷ 2/10÷ 2
3/5

The Italian sandwich weighs 35 pound.