Question

Help please with Algebra

Answer 1

First lets solve the brackets:

1 - $\frac{2}{3}$

We can re-write  the number 1 as a fraction: 1 = $\frac{3}{3}$   This is because 3 divided by 3 still equals to 1.

Now lets use $\frac{3}{3}$ instead of 1 in the question:

$\frac{3}{3}$ - $\frac{2}{3}$   This seems much easier, since all we do is 3 - 2 to get the answer:

$\frac{3}{3}$ - $\frac{2}{3}$ = $\frac{1}{3}$

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Next we square it (which means we multiply it by itself) :

$\frac{1}{3}$ ² =  $\frac{1}{3}$ × $\frac{1}{3}$

When we multiply fractions, we times the numerator by the numerator, and the denominator by the denominator:

$\frac{1}{3}$ × $\frac{1}{3}$ = $\frac{1}{9}$  (For the numerator: 1 x 1 = 1    and for the denominator: 3 x 3 = 9)

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Next we multiply this  answer ($\frac{1}{9}$) by $\frac{1}{4}$

$\frac{1}{4}$ × $\frac{1}{9}$ = $\frac{1}{36}$   (For the numerator: 1 x 1 = 1    and for the denominator: 4 x 9 = 36)

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Now we add $\frac{1}{3}$ to $\frac{1}{36}$.

However when we add or subtract fractions, the denominator of both has to be the same.

To get the same denominator, we can times the denominator of $\frac{1}{3}$ by 12, to get the same denominator as $\frac{1}{36}$     ( 3 x 12 = 36) :

$\frac{1}{3}$ × 12 = $\frac{12}{36}$  (remember to multiply the numerator by the same number you did for the denominator)

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Answer:

Now we can solve the answer:

$\frac{12}{36}$ + $\frac{1}{36}$ = $\frac{13}{36}$

Answer 2

1-2/3=1/3
1/3^2=1/9
1/9•1/4=1/36
1/36+1/3=13/36
13/36 is your answer