Test : Fractions - 1

5 parts are shaded in the piechart out of 16
That means fraction of shaded part is 5/16
It represents a proper fraction because it is less than 1
or numerator is less than denominator.

For option (D) = (156 x 8) + 7 = 1248 + 7 =1255

A fraction in which the numerator is larger than or equal to the denominator, like ⁵/₂, ¹⁷/₃, or ⁶/₆ is called an improper fraction.
To put it another way, a fraction with a value less than 1 is a proper fraction.
A mixed Fraction looks like this  and it value is greater than 1.

Total no of parts=56
Red parts out of total parts represents = ¹³/₂₈  That is 13 out of 28
But total cards are 56, So multiply both 13 and 28 by 2, we get
13 x 2 = 26 
28 x 2 = 56 
Hence from 56 total cards, 26 are coloured red.

D option has only 1 unshaded part out of 5,
Hence ¹/₅ as unshaded fraction.

A fraction in which the numerator is smaller than the denominator, like ¹/₂, ²/₃, or ⁴/₆ is called a proper fraction.

To convert it multiply 154 x 9 = 1386
Now add 5 to it = 1386 + 5 = 1391 (numerator)
Now the fraction is ¹³⁹¹/ ₉

A fraction is said to be equivalent fraction only when its simplest form is equal to the actual fraction. For example 12/20 can be considered as an equivalent fraction of 3/5 because:
12/ 20= 3*4/5*4 where 4 /4 =1.So the simplest form is 3/4.
But when we multiply 3*123/5*123
We get answer as 369/ 615
Since the denominator given in question is 625 it is wrong and not an equivalent fraction.