Fraction and Decimals DIRECTIONS: 1. Read through the PowerPoint to complete your notes 2. Complete the practice problems in the notes 3. Check your practice problems with the teacher 4. Complete the exit ticket 5. Work on your worksheet when notes & exit ticket are done

Converting Fraction to Decimal To convert a fraction to a decimal, divide the numerator (top number) by the denominator (bottom number). If a fraction converts into a decimal that eventually stops, we’ll call it a terminating decimal. Otherwise, if a fraction converts into a decimal with a repeating block (group of numbers), we’ll call it a repeating decimal.

Practice converting the following fractions into decimals Practice converting the following fractions into decimals. Then, state what type of decimal it is. 1. 3 8 3 ÷ 8 = 0.375 terminating (it ends) 2. 𝟑 1 16 1 ÷ 16 = 0.0625, so it’s 3.0625 terminating 3. 5 6 4. 4 9 4 ÷ 9 = 0.444444…. repeating (it doesn’t end) 5. 𝟏𝟑 𝟒 6. 15 𝟕 𝟗

Converting a Decimal to a Fraction To convert a terminating decimal to a fraction, put the decimal over one and multiply the numerator (top) and denominator (bottom) by ten until there is no longer a decimal in the numerator (top). Then, simplify your fraction. To convert a repeating decimal to a fraction, put the repeating digit(s) (block) over the same number of 9s. Then, simplify your fraction.

PRACTIVE CONVERTING THE FOLLOWING TERMINATING AND REPEATING DECIMALS INTO FRACTIONS. 0.35 .35 1 ∙ 10 10 = 3.5 10 ∙ 10 10 = 35 100 = 7 25 (DIVIDE THE TOP AND BOTTOM BY 5, THEIR COMMON FACTOR) 8. 0.275 8.12 8 .12 1 ∙ 10 10 =8 1.2 10 ∙ 10 10 =8 12 100 =8 6 50 = 8 3 25 (DIVIDE THE TOP AND BOTTOM BY 2 AND THEN BY 2 AGAIN SINCE THEY ARE BOTH EVEN NUMBERS) 0.8 8 9 = 8 9 (YOU CAN’T REDUCE THIS DOWN ANY MORE!) 11. 0.72 12. 5.02