Warm Up Problems Find the greatest common factor. 1. 32 and 52 ______ Find the least common multiple. 2. 5 and 7 ______

Decimals and Fractions Lesson 2-1

Objectives I can write decimals as fractions. I can write fractions as decimals.

Vocabulary rational number - any number that can be written as a fraction

Example 1 Write the decimal 0.6 as a fraction in simplest form. The place value chart shows that the place value of the last decimal place is tenths. 0.6 = 𝟔 𝟏𝟎 = 𝟑 𝟓 1,000 100 10 1 0.1 0.01 0.001 thousands hundreds tens ones tenths hundredths thousandths 6

Example 2 Write the decimal 0.45 as a fraction in simplest form. Look to the place value of the last decimal place. 0.45 = 45 100 = 9 20 1,000 100 10 1 0.1 0.01 0.001 thousands hundreds tens ones tenths hundredths thousandths 4 5

Example 3 Write the decimal 0.375 as a fraction in simplest form. 0.375 = 375 1000 = 3 8 1,000 100 10 1 0.1 0.01 0.001 thousands hundreds tens ones tenths hundredths thousandths 3 7 5

Got It? Write each decimal as a fraction in simplest form. a) 0.8 b) 0.28 c) 0.125

Example 4 The average length of a conch shell is 9.85 inches. Express 9.85 as a mixed number in simplest form. 9.85 = 9 85 100 85 100 ÷ 5 5 = 17 20 = 9 17 20 inches

Got It? It takes approximately 4.65 quarts of milk to make a pound of cheese. Express this amount as a mixed number in simplest form.

Example 5 Write 9 12 as a decimal. (Hint: You can use a ratio table)

Example 5 - Continued You cannot have a remainder. Keep adding zeros.

Got It? a) 3 5 b) 14 25