DECIMALS AND FRACTIONS Today is going to be great to learn how fractions and decimals relate As you can see fractions count equal parts of a whole perfectly 1 2 1 4 2 3 3 6 1 3 Numerator Denominator 1 3 4 Check It Out The numerator’s goal is to show the parts taken from the whole The denominator’s goal is to show all the parts of the whole
Decimals also show part of a whole They are always based on tens so their denominators never have to be written 0 32 thirty-two hundredths 0 4 four tenths 0 99 ninety-nine hundredths 0 8 eight tenths Check It Out How to read a decimal First Say the number you see after the decimal point Next Count the number of digits after the decimal point If there is one digit say tenths If there are two digits say hundredths 5
EQUIVALENT FRACTIONS How can it be Fractions look different but can be thought of equally Models help you clearly see a fraction’s equivalency 1 equals and also equals 2 2 4 4 8 1 equals and also equals 3 2 6 4 12 It doesn’t matter how many parts Fractions are equivalent as long as the shaded parts of an identical whole remain equal 6
Name and explain which fraction in each set is NOT equivalent 4 8 1 3 2 5 1 3 3 9 4 10 1 2 1 6 4 5 2 4 4 12 8 20 4 is 5 not equivalent because the shaded is part larger than the others 1 is 6 not equivalent because the shaded is part smaller than the others 1 is 3 not equivalent because the shaded is part smaller than the others Answers 7