Agroup of children share 11 3/7 vegetarian pizza's. each child receives 10/14 of pizza. how many children are in the group?

The given elements are:

Pizza = 11 3/7
Pizza for Each Child = 10/14

Find:
Number of children

To find the number of children, this is the formula that we can formulate:

Number of Children = Pizza ÷ Pizza For Each Child

First, we must simplify some terms.

11 3/7 ; Since this a mixed number, we need to transform it into an improper fraction first.

1. To do so, you must multiply the denominator to the whole number.
2. After that, add the numerator.
3. The number that you will get is the new numerator for your improper fraction.
4. Retain your denominator.

If you successfully done it, your improper fraction must already be:

Pizza = 80/7 ; Take note of this because we will use this later.

Next is the Pizza for each child = 10/14. It is a proper fraction.
Notice that it can be simplified to its lowest terms. Divide the numerator and denominator by 2.

10/14 ÷ 2/2 = 5/7 ; now that is your proper fraction for each child.

Notice that 5/7 has the same denominator as the improper fraction that we had earlier which was the Pizza.

Now using the formula, let us substitute the simplified numbers.

Number of Children = Pizza ÷ Pizza for Each Child
Number of Children = 80/7 ÷ 5/7 ; substituting the fractions (Since they have the same denominator, divide the numerator to the other numerator directly. Same thing goes with the denominator)

Number of Children = 16 ; Final Answer