How can we subtract fractions, like
Since both fractions have the same denominator (), we can combine them into one fraction.
Now, we work out using our number line:
We get and therefore
Note: If two fractions have different denominators, we need to put them over a common denominator first and then subtract!
Find the value of
Since both fractions have the same denominators, we can combine them into one fraction, which gives
Now, we work out using a number line:
So, we get
Finally, we simplify:
Therefore, we conclude that
Find the value of $\dfrac{2}{11}-\dfrac{5}{11}.$
|
a
|
$-\dfrac{7}{11}$ |
|
b
|
$-\dfrac{3}{11}$ |
|
c
|
$\dfrac{3}{11}$ |
|
d
|
$-\dfrac{4}{11}$ |
|
e
|
$\dfrac{7}{11}$ |
Find the value of $-\dfrac{2}{3}-\dfrac{8}{3}.$
|
a
|
$-\dfrac{4}{3}$ |
|
b
|
$-\dfrac{10}{3}$ |
|
c
|
$-\dfrac{5}{3}$ |
|
d
|
$-3$ |
|
e
|
$-2$ |
Calculate the value of
We write as and then we simply subtract the numerators. This gives
Now, we work out using a number line:
So we get
Finally, we simplify:
Therefore, we conclude that
$1-\dfrac{4}{3}=$
|
a
|
$\dfrac{2}{3}$ |
|
b
|
$-1$ |
|
c
|
$1$ |
|
d
|
$-\dfrac{5}{3}$ |
|
e
|
$-\dfrac{1}{3}$ |
Calculate the value of $-\dfrac{1}{4}-\dfrac{5}{8}.$
|
a
|
$\dfrac{3}{8}$ |
|
b
|
$-\dfrac{7}{8}$ |
|
c
|
$-\dfrac{5}{8}$ |
|
d
|
$\dfrac{3}{4}$ |
|
e
|
$-\dfrac{3}{4}$ |
Calculate the value of
We write as and as and then we simply subtract the numerators. This gives
Now, we work out using a number line:
So, we get
Calculate the value of $\dfrac{1}{5}-\dfrac{1}{2}.$
|
a
|
$\dfrac{1}{10}$ |
|
b
|
$-\dfrac{3}{5}$ |
|
c
|
$\dfrac{2}{5}$ |
|
d
|
$-\dfrac{3}{10}$ |
|
e
|
$-\dfrac{7}{10}$ |
Calculate the value of $\dfrac{1}{6}-\dfrac{3}{8}.$
|
a
|
$-\dfrac{7}{48}$ |
|
b
|
$-\dfrac{5}{24}$ |
|
c
|
$-\dfrac{7}{24}$ |
|
d
|
$\dfrac{11}{48}$ |
|
e
|
$-\dfrac{5}{12}$ |
Find the value of
First, we write as an improper fraction:
Since both fractions have the same denominators, we can combine them into one fraction, which gives
Now, we work out using a number line:
So, we get
Finally, we write the resulting improper fraction as a mixed number:
Find the value of $\dfrac{2}{5}-1\,\dfrac{1}{5}.$
|
a
|
$-1 \, \dfrac{2}{5}$ |
|
b
|
$-1 \, \dfrac{4}{5}$ |
|
c
|
$\dfrac{1}{5}$ |
|
d
|
$-\dfrac{4}{5}$ |
|
e
|
$-\dfrac{2}{5}$ |
Calculate the value of $-\dfrac{2}{3}-1\dfrac{5}{6}.$
|
a
|
$-\dfrac{2}{3}$ |
|
b
|
$-2 \, \dfrac{1}{2}$ |
|
c
|
$-1 \, \dfrac{2}{3}$ |
|
d
|
$-1 \, \dfrac{1}{2}$ |
|
e
|
$\dfrac{5}{6}$ |
