Compare Fractions: Identifying Parts Greater Than 5/6 in Pictures

The question requires combining two skills,

First identifying the fractions and then comparing them.

In the first stage, we need to identify which fraction is shown in each option.

To do this, we need to write in the denominator (bottom number) the total number of squares in the shape,

and in the numerator (top part) the number of colored squares.

Let's check each option and see that:

a. 5/5

b. 2/5

c. 2/3

d. 4/6

We are asked to find the fraction that is greater than 5/6.

The easiest fraction to compare with is d, since both have the same denominator.

When two fractions have the same denominator, the one with the larger numerator is greater,

therefore 4/6 is less than 5/6 and option d is eliminated.

The next easiest option to calculate is option a.

Any number divided by itself equals 1,

therefore 5/5 is 1. We can also do this in reverse, to bring the fraction to a denominator of 6,

1 equals 6/6.

6/6 is greater than 5/6, so we know that option a is correct,

but let's continue and check the other options.

Option b is the next option, and to check it we'll use a different method - comparing to one-half.

We know that 5/6 is greater than half because half of six is 3/6.

Option b, as can be seen in the drawing or calculated, is less than half,

therefore option b must be less than 5/6.

In order to understand option c we need to bring both fractions to the same denominator.

The existing fraction is 2/3, and to bring it to the same denominator as 5/6, we need to multiply it by 2.

Remember that when we convert to a common denominator we multiply both numerator and denominator.

Therefore:

2*2/3*2=4/6

We already calculated in option d that 4/6 is less than 5/6, hence option c is also eliminated.

Thus, the only correct answer is option aThat's the solution!