What are equivalent fractions? Four-eighths of the circle and one-half of the triangle shown in the given figure are shaded. How are the two figures alike? How are they different?

 

Refer to the given figure and represent the following as a fraction.

The letters inside the triangle as part of the given letters  ($\mathrm{A}$ to $\mathrm{P}$).

Refer to the given figure and represent the following as a fraction.

The letters common to the circle and the triangle as part of the given letters ($\mathrm{A}$ to $\mathrm{P}$).

Refer to the given figure and represent the following as a fraction.

The letters not in the triangle but inside the circle as part of the given letters ($\mathrm{A}$ to $\mathrm{P}$).

The following graph shows preferences of the students during breakfast in a hostel mess. Based on the given data, answer the following:

Whose number is greater, milk drinkers or coffee drinkers and by what fraction?

The following graph shows preferences of the students during breakfast in a hostel mess. Based on the given data, answer the following:

If the total number of students enrolled in the mess are $420$, find the number of students who take tea.

The following graph shows preferences of the students during breakfast in a hostel mess. Based on the given data, answer the following:

Find the total number of students who prefer either juice or mango shake. Is it equal to coffee drinkers?

The total number of students is $420$.

Amit sleeps $8$hours a day. What fraction of the day is he awake? How much sleep is ideal for a healthy body?

Ranjana studied for $\frac{11}{18}$ hours, whereas her brother Roshan studied for $\frac{7}{12}$ hours on a particular day. Who studied for a shorter time? Do you help your brother or sister in studies?