Transcript: Improper Fractions and Mixed Numbers
(music plays)
In a colourful TV studio, Shahana stands next to a wall touch screen. She is in her twenties, with shoulder-length brown hair. She wears a blue T-shirt with a print that reads "Home Work Zone" and black trousers.
She says HI TVO KIDS.
I'M TEACHER SHAHANA.
AND I'M HERE TODAY
TO TALK TO YOU ABOUT
IMPROPER FRACTIONS AND
MIXED NUMBERS.
NOW BEFORE WE BEGIN,
LET'S REVIEW WHAT A FRACTION IS.
She clicks on a top menu and a fraction and a definition appear.
She continues NOW, A FRACTION IS A PART
OF A WHOLE.
SO FOR EXAMPLE,
IF I HAVE A FULL CHOCOLATE BAR,
THAT'S DIVIDED INTO FOUR PIECES,
AND I EAT ONE PIECE
OUT OF THE FOUR,
THAT WOULD MEAN
I'VE EATEN ONE FOURTH
OR ONE QUARTER OF THE
CHOCOLATE BAR.
AND THAT WOULD BE MY FRACTION.
NOW KEEP IN MIND THAT...
IF YOU FORGOT,
IN CASE YOU FORGOT,
THE NUMBER ON TOP
OF THE FRACTION,
IS WHAT WE CALL THE NUMERATOR,
AND THE NUMBER AT THE BOTTOM
IS CALLED THE DENOMINATOR.
NOW, WHEN THE NUMERATOR IS
SMALLER THAN THE DENOMINATOR,
THAT'S WHAT WE CALL
A PROPER FRACTION.
NOW LET'S SAY I GO OUT AND BUY
FOUR CHOCOLATE BARS
TO SHARE WITH MY FRIENDS.
A new screen shows the drawings of four kids and four chocolate bars.
She continues NOW NOTICE THAT THE CHOCOLATE
BAR IS STILL DIVIDED
INTO FOUR EQUAL PIECES EACH.
LET'S SAY THE FIRST FRIENDS EATS
ALL OF HIS CHOCOLATE BAR
CAUSE HE'S REALLY HUNGRY,
SO HE'S EATEN FOUR FORTHS OF HIS
CHOCOLATE BAR, FOURTH QUARTERS,
THE SECOND PERSON ALSO EATS
THE ENTIRE CHOCOLATE BAR,
OR FOURTH QUARTERS,
THE THIRD PERSON DOES THE SAME,
SO THAT'S ANOTHER
FOURTH QUARTER.
BUT I, NOT THAT HUNGRY ANYMORE,
SO I EAT ONLY ONE QUARTER
OF MY CHOCOLATE BAR.
NOW IF WE ADD
ALL OF THOSE AMOUNTS,
FOUR PLUS FOUR PLUS FOUR PLUS
ONE MORE QUARTER
GIVES ME A TOTAL OF 13 QUARTERS.
NOW THIS FRACTION LOOKS
A LITTLE BIT DIFFERENT
THAN WHAT WE'VE SEEN BEFORE,
BUT THE NUMBER AT THE TOP
IS BIGGER
THAN THE NUMBER AT THE BOTTOM.
ANOTHER WORD IS THE NUMERATOR
IS BIGGER THAN THE DENOMINATOR.
LOOKS A LITTLE BIT FUNNY,
BUT IT DOES EXIST.
IT'S CALLED AN
IMPROPER FRACTION.
NOW IF WE WANT OUR
IMPROPER FRACTION
TO LOOK A LITTLE BIT
MORE FRIENDLY,
HERE'S WHAT WE MIGHT DO:
WE'LL GO BACK TO A QUESTION
THAT WE JUST DID,
AND WE SAID THAT
THE FIRST THREE FRIENDS
ATE ALL FOUR PIECES OF THEIR
WHOLE CHOCOLATE BAR.
AND I ONLY EAT ONE,
SO WE SAID THAT ALTOGETHER
THAT GIVES US 13 QUARTERS.
Using her index finger, she paints 13 pieces of four chocolate bars.
She continues OKAY, NOW IF YOU LOOK CLOSELY,
YOU'LL NOTICE THAT'S THE
SAME THING AS ONE, TWO,
THREE WHOLE CHOCOLATE BARS.
AND ONE QUARTER OF A
CHOCOLATE BAR,
OR IN ANOTHER WORD
THREE AND A QUARTER.
SO THEREFORE,
THIS AMOUNT IS EXACTLY
THE SAME THING AS THIS AMOUNT
THEREFORE WE CAN CHANGE IMPROPER
FRACTION TO A MIXED NUMBER.
NOW A MIXED NUMBER IS WHAT
WE SEE OVER HERE,
WHICH IS A WHOLE NUMBER WITH A
FRACTION ADDED INTO IT.
SO, WE CAN CHANGE AN IMPROPER
FRACTION TO A MIXED NUMBER,
AND THE OTHER WAY AROUND.
THANKS FOR LISTENING,
TVO KIDS.
I'M TEACHER SHAHANA.
NOW YOU KNOW ALL ABOUT IMPROPER
FRACTIONS AND MIXED NUMBERS.
In a colourful TV studio, Shahana stands next to a wall touch screen. She is in her twenties, with shoulder-length brown hair. She wears a blue T-shirt with a print that reads "Home Work Zone" and black trousers.
She says HI TVO KIDS.
I'M TEACHER SHAHANA.
AND I'M HERE TODAY
TO TALK TO YOU ABOUT
IMPROPER FRACTIONS AND
MIXED NUMBERS.
NOW BEFORE WE BEGIN,
LET'S REVIEW WHAT A FRACTION IS.
She clicks on a top menu and a fraction and a definition appear.
She continues NOW, A FRACTION IS A PART
OF A WHOLE.
SO FOR EXAMPLE,
IF I HAVE A FULL CHOCOLATE BAR,
THAT'S DIVIDED INTO FOUR PIECES,
AND I EAT ONE PIECE
OUT OF THE FOUR,
THAT WOULD MEAN
I'VE EATEN ONE FOURTH
OR ONE QUARTER OF THE
CHOCOLATE BAR.
AND THAT WOULD BE MY FRACTION.
NOW KEEP IN MIND THAT...
IF YOU FORGOT,
IN CASE YOU FORGOT,
THE NUMBER ON TOP
OF THE FRACTION,
IS WHAT WE CALL THE NUMERATOR,
AND THE NUMBER AT THE BOTTOM
IS CALLED THE DENOMINATOR.
NOW, WHEN THE NUMERATOR IS
SMALLER THAN THE DENOMINATOR,
THAT'S WHAT WE CALL
A PROPER FRACTION.
NOW LET'S SAY I GO OUT AND BUY
FOUR CHOCOLATE BARS
TO SHARE WITH MY FRIENDS.
A new screen shows the drawings of four kids and four chocolate bars.
She continues NOW NOTICE THAT THE CHOCOLATE
BAR IS STILL DIVIDED
INTO FOUR EQUAL PIECES EACH.
LET'S SAY THE FIRST FRIENDS EATS
ALL OF HIS CHOCOLATE BAR
CAUSE HE'S REALLY HUNGRY,
SO HE'S EATEN FOUR FORTHS OF HIS
CHOCOLATE BAR, FOURTH QUARTERS,
THE SECOND PERSON ALSO EATS
THE ENTIRE CHOCOLATE BAR,
OR FOURTH QUARTERS,
THE THIRD PERSON DOES THE SAME,
SO THAT'S ANOTHER
FOURTH QUARTER.
BUT I, NOT THAT HUNGRY ANYMORE,
SO I EAT ONLY ONE QUARTER
OF MY CHOCOLATE BAR.
NOW IF WE ADD
ALL OF THOSE AMOUNTS,
FOUR PLUS FOUR PLUS FOUR PLUS
ONE MORE QUARTER
GIVES ME A TOTAL OF 13 QUARTERS.
NOW THIS FRACTION LOOKS
A LITTLE BIT DIFFERENT
THAN WHAT WE'VE SEEN BEFORE,
BUT THE NUMBER AT THE TOP
IS BIGGER
THAN THE NUMBER AT THE BOTTOM.
ANOTHER WORD IS THE NUMERATOR
IS BIGGER THAN THE DENOMINATOR.
LOOKS A LITTLE BIT FUNNY,
BUT IT DOES EXIST.
IT'S CALLED AN
IMPROPER FRACTION.
NOW IF WE WANT OUR
IMPROPER FRACTION
TO LOOK A LITTLE BIT
MORE FRIENDLY,
HERE'S WHAT WE MIGHT DO:
WE'LL GO BACK TO A QUESTION
THAT WE JUST DID,
AND WE SAID THAT
THE FIRST THREE FRIENDS
ATE ALL FOUR PIECES OF THEIR
WHOLE CHOCOLATE BAR.
AND I ONLY EAT ONE,
SO WE SAID THAT ALTOGETHER
THAT GIVES US 13 QUARTERS.
Using her index finger, she paints 13 pieces of four chocolate bars.
She continues OKAY, NOW IF YOU LOOK CLOSELY,
YOU'LL NOTICE THAT'S THE
SAME THING AS ONE, TWO,
THREE WHOLE CHOCOLATE BARS.
AND ONE QUARTER OF A
CHOCOLATE BAR,
OR IN ANOTHER WORD
THREE AND A QUARTER.
SO THEREFORE,
THIS AMOUNT IS EXACTLY
THE SAME THING AS THIS AMOUNT
THEREFORE WE CAN CHANGE IMPROPER
FRACTION TO A MIXED NUMBER.
NOW A MIXED NUMBER IS WHAT
WE SEE OVER HERE,
WHICH IS A WHOLE NUMBER WITH A
FRACTION ADDED INTO IT.
SO, WE CAN CHANGE AN IMPROPER
FRACTION TO A MIXED NUMBER,
AND THE OTHER WAY AROUND.
THANKS FOR LISTENING,
TVO KIDS.
I'M TEACHER SHAHANA.
NOW YOU KNOW ALL ABOUT IMPROPER
FRACTIONS AND MIXED NUMBERS.
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