Hi, I'm Kelly Oyer I teach fifth grade at John Humbird. Today, I am going to model addition of fractions by using a number line.
Today's problem is Tucker ran 1/3 of a mile on Monday in 5/6 of a mile on Wednesday.
How many total miles did he run? To determine the total miles I will add the fractions.
Now I'm going to write an equation to match the story.
1/3
plus 5/6
equals. In order to add these fractions, I need a common denominator.
I know that 1/3 is equivalent to 2/6. Now
I can add 2/6 and 5/6 to find the total amount of miles ran.
I will use a number line with a starting point of 0.
Since the denominators are sixths I will label the number line counting by sixths starting at zero. Zero,
one sixth,
two sixths,
three sixths,
four sixths,
five sixths,
six sixths,
seven sixths, eight sixths.
Starting at zero. I will move to the right two times. One, two.
And I will place a dot here to represent the amount of miles Tucker ran on Monday.
Since I'm adding, I will now move to the right five more times.
One, two.
To show Wednesday's distance I will place a point right here.
That means Tucker ran one whole mile plus one sixth more miles for a total of one
and one sixth
miles.
One-third plus five six equals one and one sixth miles.
