Lesson · Grade 6 · Mathematics
Improper Fractions and Mixed Numbers: 7/4 = 1 3/4
- Grade 6
- Mathematics
- 1 min 17 s
- British Columbia
- BC6-MA-12
Two circles cut into quarters, with 7 quarters shaded one at a time, show that 4 quarters fill 1 whole circle and 3 are left over, so 7/4 = 1 3/4. The quicker way divides 7 by 4 to get 1 remainder 3, and going back multiplies and adds (1 × 4 = 4, 4 + 3 = 7) to return to 7/4.
Concept: Improper fractions and mixed numbers: changing one into the other
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In one sentence
The question this lesson answers
How can we write seven quarters as a mixed number?
The top, 7, is bigger than the bottom, 4, so this is an improper fraction.
Transcript
What the lesson says
How can we write seven quarters as a mixed number?
The top, 7, is bigger than the bottom, 4, so this is an improper fraction.
The bottom number, 4, means each circle is cut into 4 quarters.
The top number, 7, means we shade 7 quarters.
4 quarters fill one whole circle.
3 quarters are left over.
So seven quarters is the same as one and three quarters.
One and three quarters is a mixed number, a whole number and a fraction together.
A quicker way is to divide the top by the bottom, 7 divided by 4.
4 goes into 7 once, with a remainder of 3.
The 1 is the whole number, 3 is the new top, and the bottom stays 4.
To change it back, multiply the whole number by the bottom: 1 times 4 is 4.
Then add the top: 4 plus 3 is 7, so we get seven quarters again.
To get a mixed number, divide the top by the bottom; to go back, multiply and add.
Curriculum
Where this fits
- British Columbia, Grade 6
Mathematics, Number: improper fractions and mixed numbersBC6-MA-12
Previous: Least Common Multiple with a Venn DiagramNext: Comparing fractions on a number line
The outcomes and strands follow the British Columbia curriculum.
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