What you need to know

Things to remember:

  • Turn the whole number into a fraction with the same denominator as the fraction in the question.
  • Add the fractions together.

A mixed number is a whole number and a fraction put (added) together. For example, 3\dfrac{2}{6} means 3 wholes and \dfrac{2}{6}

3\dfrac{2}{6}

 

 

If we count up all of the sixths, we can see that we have \dfrac{20}{6}

We don’t have to draw the diagram though, we can split up the whole number into lots of 1s and turning them into fractions with the same denominator.

1+1+1+\frac{2}{6}

\frac{6}{6}+\frac{6}{6}+\frac{6}{6}+\frac{2}{6}

\frac{20}{6}

We can also do this in a fancy way with 3 Steps:

Step 1: Multiply the whole number by the bottom of the fraction

3\times6=18

Step 2: Add the number in Step 1 to the top of the fraction

18+2=20

Step 3: Put the number in Step 2 over the bottom of the fraction.

3\dfrac{2}{6}=\dfrac{20}{6}

Example Questions

Question 1: What is 2\dfrac{1}{5} as a top heavy fraction?

Answer

1+1+\frac{1}{5}

 

\frac{5}{5}+\frac{5}{5} +\frac{1}{5}

 

\frac{11}{5}

 

Step 1: Multiply the whole number by the bottom of the fraction

 

2\times5=10

 

Step 2: Add the number in Step 1 to the top of the fraction

 

10+1=11

 

Step 3: Put the number in Step 2 over the bottom of the fraction.

 

2\frac{1}{5}=\frac{11}{5}[latex]</p> <p> </p> <p style="text-align: justify;"><strong>Question 2:</strong> What is [latex]4\dfrac{4}{7} as a top heavy fraction?

Question 2: What is 4\dfrac{4}{7} as a top heavy fraction?

Answer

1+1+1+1+\dfrac{4}{7}

 

\frac{7}{7}+\frac{7}{7}+\frac{7}{7}+\frac{7}{7}+\frac{4}{7}

 

\frac{32}{7}

 

Step 1: Multiply the whole number by the bottom of the fraction

 

4\times7=28

 

Step 2: Add the number in Step 1 to the top of the fraction

 

28+4=32

 

Step 3: Put the number in Step 2 over the bottom of the fraction.

 

4\frac{4}{7}=\frac{32}{7}