Adding integers together is generally the first form of arithmetic that adolescents learn. Once children can count to at least ten and have a solid understanding of these numerical values, addition is valuable. Other forms of simple arithmetic include subtraction, multiplication, and division. These concepts are easy to maneuver around after years of active learning but can be difficult for first-timers. Experiencing challenges with arithmetic is especially true for young students who are beginning to work with fractions. Teachers often demonstrate adding fractions together first, so children become comfortable in this area.

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**Defining Fractions**

Fractions are specific portions of an observable whole. Every
fraction is made up of a numerator and a denominator. The numerator is
the number that appears above the dividing line of the fraction. A numerator
represents a particular portion of a given whole. For example, think of
a basket of apples that has two green apples and two red apples. When
focusing your attention on the red apples, the numerator for that
fraction would be two. A denominator, on the other hand, is the number
which appears below the dividing line of the fraction. The denominator
identifies a given whole value. So, the denominator for this basket
example would be four since there are four apples present.##
**Adding Two Fractions with the Same Denominator **

One of the easiest ways to visualize fractions is to buy a pizza or
pie for your child and cut it into equal pieces. If you make one cut
that equally divides a pie into two sections, each piece is considered
to be one-half. Have your child push these two parts of the pie together
again, and this will represent a whole pie. It is essential to teach
fractions in a hands-on way to crystallize this information. These two
halves can each receive an additional slice to create four quarters.
Your child can add two quarters together to recreate one-half. Quarters
are commonly used alongside this example to express the fractions of one
dollar.##
**Adding Two Fractions with Different Denominators**

When your child is examining two fractions that have two different
denominators, this is when confusion occurs. One of the easiest ways to
add two fractions with two different denominators involves something
referred to as the least common multiple. A least common multiple
between two positive integers is the smallest number by which two values
are divisible. Returning to the pie example will help solidify this
concept. Assume your child is looking to add one-half of the pie to
one-fourth. The denominator for the former is two and four for the
latter. The least common multiple for these denominators is four. The
entire fraction for one-half of the pie must be multiplied by two to
create a denominator of four. Adding these two fractions together will
give your child an answer of three-fourths.An easy way for your child to comprehend this answer of three-fourths is to push three pieces of the pie together. There are four pieces in total, but one part stands alone. With this being the case, three is the numerator, and four equals the denominator for this answer.

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