To simplify fractions, factor both the numerator and the denominator. Identify which part of the fractions can be simplified using cancellation method. Remember that factors are different from multiples. Do not be confused since we are using factoring method. Always express the answer in its simplest form.
Answers:
\frac{1}{2}
2
1
1 \frac{1}{8}
8
1
\frac{m + n}{r - s}
r−s
m+n
m + 3
\frac{(x + 4)(x - 1)}{(x - 5)(x + 1)}
(x−5)(x+1)
(x+4)(x−1)
Solutions:
1. \frac{18}{36}
36
18
= \frac{3 x 6}{6 x 6}
6x6
3x6
= \frac{1 x 1}{1 x 2}
1x2
1x1
= \frac{1}{2}
2
1
2. \frac{81}{72}
72
81
= \frac{9 x 9}{9 x 8}
9x8
9x9
= \frac{1 x 9}{1 x 8}
1x8
1x9
= \frac{9}{8}
8
9
= 1 \frac{1}{8}
8
1
3. \frac{9m + 9n}{9r - 9s}
9r−9s
9m+9n
= \frac{9(m + n)}{9(r - s)}
9(r−s)
9(m+n)
= \frac{1(m + n)}{1(r - s)}
1(r−s)
1(m+n)
= \frac{m + n}{r - s}
r−s
m+n
4. \frac{m^2 - 9}{m - 3}
m−3
m
2
−9
= \frac{(m + 3)(m - 3)}{m - 3}
m−3
(m+3)(m−3)
= \frac{1(m + 3)}{1}
1
1(m+3)
= m + 3
5. \frac{x^2 + 3x - 4}{x^2 - 4x - 5}
x
2
−4x−5
x
2
+3x−4
= \frac{(x + 4)(x - 1)}{(x - 5)(x + 1)}
(x−5)(x+1)
(x+4)(x−1)
Things to Remember:
Fractions can be simplified by finding the Greatest Common Factor of both the numerator and the denominator.
Use the greatest common factor to simplify the numerator and the denominator.
For expressions involving algebraic expressions, remember to factor also the literal coefficients.
Answers & Comments
Answer:
Simplifying Fractions
To simplify fractions, factor both the numerator and the denominator. Identify which part of the fractions can be simplified using cancellation method. Remember that factors are different from multiples. Do not be confused since we are using factoring method. Always express the answer in its simplest form.
Answers:
\frac{1}{2}
2
1
1 \frac{1}{8}
8
1
\frac{m + n}{r - s}
r−s
m+n
m + 3
\frac{(x + 4)(x - 1)}{(x - 5)(x + 1)}
(x−5)(x+1)
(x+4)(x−1)
Solutions:
1. \frac{18}{36}
36
18
= \frac{3 x 6}{6 x 6}
6x6
3x6
= \frac{1 x 1}{1 x 2}
1x2
1x1
= \frac{1}{2}
2
1
2. \frac{81}{72}
72
81
= \frac{9 x 9}{9 x 8}
9x8
9x9
= \frac{1 x 9}{1 x 8}
1x8
1x9
= \frac{9}{8}
8
9
= 1 \frac{1}{8}
8
1
3. \frac{9m + 9n}{9r - 9s}
9r−9s
9m+9n
= \frac{9(m + n)}{9(r - s)}
9(r−s)
9(m+n)
= \frac{1(m + n)}{1(r - s)}
1(r−s)
1(m+n)
= \frac{m + n}{r - s}
r−s
m+n
4. \frac{m^2 - 9}{m - 3}
m−3
m
2
−9
= \frac{(m + 3)(m - 3)}{m - 3}
m−3
(m+3)(m−3)
= \frac{1(m + 3)}{1}
1
1(m+3)
= m + 3
5. \frac{x^2 + 3x - 4}{x^2 - 4x - 5}
x
2
−4x−5
x
2
+3x−4
= \frac{(x + 4)(x - 1)}{(x - 5)(x + 1)}
(x−5)(x+1)
(x+4)(x−1)
Things to Remember:
Fractions can be simplified by finding the Greatest Common Factor of both the numerator and the denominator.
Use the greatest common factor to simplify the numerator and the denominator.
For expressions involving algebraic expressions, remember to factor also the literal coefficients.
How to simplify fractions: brainly.ph/question/3772577
#BrainlyEveryday
Step-by-step explanation:
I HOPE IM HELPING? Y//v//Y?
Answer:
18/36
=3•6/6•6
=1/2
81/72
=9•9/9•8
=1 1/8
9m+9n/9r+9s
=9(m+n)/9(r+s)
=m+n/r+s
m²-9/m+3
=(m-3)(m+3)/(m+3)
=m-3
x²+3x-4/x²+4x-5
=1+ (-7x+9)/x(x+5)-(x+5)
=1- 22/3(x+5)+1/3(x-1)
Step-by-step explanation:
Hope it helps<3