Question

Draw circles to convert the mixed fractions into improper fractions.
I. $ 1\dfrac{3}{4} $
II. $ 3\dfrac{2}{8} $
III. $ 4\dfrac{1}{6} $

Answer 1

Hint: Simplify the mixed fractions by solving It using basic formula and then plot a circle into the fine parts mentioned in the fraction.
We need to ask two questions. First, how many equal parts are there? This will be the denominator. Second, of these equal parts, how many are shaded? This will be the numerator.
 Firstly, simplifying the equation into improper fractions. In order to convert them into an improper fraction the numerator should be substituted with the product of the denominator and the whole value then add it to the numerator and substitute it. Then draw circles according to the diagram.

Complete step-by-step answer:
I. $ 1\dfrac{3}{4} $
 $
   = \dfrac{{4 \times 1 + 3}}{4} \\
   = \dfrac{7}{4} \\
 $

II. $ 3\dfrac{2}{8} $
 $
   = \dfrac{{3 \times 8 + 2}}{8} \\
   = \dfrac{{26}}{8} \\
 $

III. $ 4\dfrac{1}{6} $
= $
   = \dfrac{{6 \times 4 + 1}}{6} \\
   = \dfrac{{25}}{6} \\
 $ $ $
Hence, we have the values for the mixed fractions into the improper fraction.
The following are the diagrams for the mixed fractions in this the shaded region in the right most of each diagram represents the numerator of the mixed fraction so that we can have a clear idea of the numerator and the unshaded region is the remaining part. If in a diagram if we have 2 fully drawn circles then the whole number value in front of the fraction is 2 like that it is defined for every diagram or question.
I. $ 1\dfrac{3}{4} $

II. $ 3\dfrac{2}{8} $

III. $ 4\dfrac{1}{6} $

Note: A fraction is a way to represent parts of a whole. The denominator $ b $ represents the number of equal parts the whole has been divided into, and the numerator $ a $ represents how many parts are included. The denominator, $ b $ , cannot equal zero because division by zero is undefined.