Question

Find −4/5+33/10. Write your answer as a mixed number in simplest form.

−4/5+33/10=
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Answer 1

Answer:

21/2 or 5/2

Step-by-step explanation:

find the L.C.M of the denominator 5 and 10 which is 10 hence:

-4/5+33/10/10=-8+33/10=25/10

the answer is 21/2

Answer 2

Answer:

$\displaystyle 2\frac{1}{2}$

Step-by-step explanation:

Operations with fractions

Proper fractions are those who have a numerator smaller than the denominator. Examples are:

$\displaystyle \frac{2}{5},\frac{7}{20},-\frac{17}{80}$

Improper fractions are those who have a numerator greater than the denominator. Examples are:

$\displaystyle \frac{7}{5},\frac{41}{20},-\frac{111}{80}$

Mixed fractions are those who have an integer part followed by a proper fraction. Examples are:

$\displaystyle 3\frac{2}{5},5\frac{7}{20},-1\frac{17}{80}$

Find

$\displaystyle -\frac{4}{5}+\frac{33}{10}$

We make both denominators match:

$\displaystyle -\frac{8}{10}+\frac{33}{10}$

Now add the numerators and write the common denominator:

$\displaystyle \frac{25}{10}$

Simplifying:

$\displaystyle \frac{5}{2}$

To convert to mixed fraction, divide 5 by 2= 2, remainder 1, thus

$\boxed{\displaystyle 2\frac{1}{2}}$