When adding two fractions with the same denominator, we
add their numerators, and
keep the denominator the same.
For example, let's compute the following sum:
To add these numbers, we add the numerators and keep the denominators the same. Therefore,
We can use a fraction model to confirm this result:
Find the value of
To add two fractions with like denominators, we add the numerators and keep the denominators the same. Therefore,
$\dfrac 3 7 + \dfrac 2 7 = $
a
|
$\dfrac 5 7$ |
b
|
$\dfrac 5 {14}$ |
c
|
$\dfrac 4 7$ |
d
|
$\dfrac 2 7$ |
e
|
$\dfrac 6 7$ |
What is the value of
To add two fractions with like denominators, we add the numerators and keep the denominators the same. Therefore,
We can simplify this fraction by dividing the numerator and the denominator by
Therefore, we conclude that
$\dfrac 1 4 + \dfrac 1 4 =$
a
|
$\dfrac 1 2$ |
b
|
$\dfrac 1 4$ |
c
|
$\dfrac 1 8$ |
d
|
$\dfrac{1}{16}$ |
e
|
$\dfrac 2 8$ |
Expressed as a fraction in lowest terms,
a
|
|
b
|
|
c
|
|
d
|
|
e
|
Expressed as a fraction in lowest terms,
a
|
|
b
|
|
c
|
|
d
|
|
e
|
Find the value of
To add two fractions with like denominators, we add the numerators and keep the denominators the same. Therefore,
We then convert to a mixed number:
Therefore, we conclude that
$\dfrac 3 5 + \dfrac 3 5 = $
a
|
$1\,\dfrac 1 5$ |
b
|
$\dfrac 1 5$ |
c
|
$1$ |
d
|
$\dfrac{6}{10}$ |
e
|
$1\,\dfrac 2 5$ |
Expressed as a mixed number in lowest terms,
a
|
|
b
|
|
c
|
|
d
|
|
e
|