⇒ Solutions
Make mixed fraction to improper fraction
= 17/8 + 2/1
Make same denominators
<span>= ((17 × 1) + (2 × 8)) / (8 × 1) </span>
Simplify
= (17 + 16) / 8
Simplify (17 + 16) / 8<span> </span>
= 33/8
Mixed Fraction
= 4 1/8
Answer:
Option 4 - The expression is equivalent to 12 + 3 + (-7) because of the commutative property.
Step-by-step explanation:
To find : Which statement is true about the expression 
?
Solution :
Associative property states that, 
Commutative property states that, 
By definition of properties we conclude that option 4 applies the correct property i.e. commutative.
As 
Therefore, The expression is equivalent to 
because of the commutative property.
So, Option 4 is correct.
Let's x be the rest of it.
x=1-1/4
x=4/4-1/4
x=3/4
Answer: D
Step-by-step explanation:
Let's take one of the equations and solve for a variable to use the substitution method.
Now replace this in the first equation.
Separate the terms.
Solve 20/5
Subtract 4 from both sides to isolate y.
Solve the difference.
Multiply by the reciprocal or the inverted fraction that is next to y to isolate it.
Now, in order to find x, replace y in any of the two equations.
<h2>Recurring decimals such as 0.26262626…, all integers and all finite decimals, such as 0.241, are also rational numbers. Alternatively, an irrational number is any number that is not rational. ... For example, the square root of 2 is an irrational number because it cannot be written as a ratio of two integers.</h2><h2>Worked Examples
</h2><h2>1 - recognize Surds
</h2><h2>A surd is a square root which cannot be reduced to a whole number.
</h2><h2>
</h2><h2>For example,
</h2><h2>
</h2><h2>4–√=2
</h2><h2>is not a surd, because the answer is a whole number.
</h2><h2>
</h2><h2>Alternatively
</h2><h2>
</h2><h2>5–√
</h2><h2>is a surd because the answer is not a whole number.
</h2><h2>
</h2><h2>You could use a calculator to find that
</h2><h2>
</h2><h2>5–√=2.236067977...
</h2><h2>but instead of this we often leave our answers in the square root form, as a surd.
</h2><h2>
</h2><h2>2 - Simplifying Surds
</h2><h2>During your exam, you will be asked to simplify expressions which include surds. In order to correctly simplify surds, you must adhere to the following principles:
</h2><h2>
</h2><h2>ab−−√=a−−√∗b√
</h2><h2>a−−√∗a−−√=a
</h2><h2>Example
</h2><h2>(a) - Simplify
</h2><h2>
</h2><h2>27−−√
</h2><h2>Solution
</h2><h2>(a) - The surd √27 can be written as:
</h2><h2>
</h2><h2>27−−√=9–√∗3–√
</h2><h2>9–√=3
</h2><h2>Therefore,
</h2><h2>
</h2><h2>27−−√=33–√
</h2><h2>Example
</h2><h2>(b) - Simplify
</h2><h2>
</h2><h2>12−−√3–√
</h2><h2>Solution
</h2><h2>(b) -
</h2><h2>
</h2><h2>12−−√3–√=12−−√∗3–√=(12∗3)−−−−−−√=36−−√
</h2><h2>36−−√=6
</h2><h2>Therefore,
</h2><h2>
</h2><h2>12−−√3–√=6
</h2><h2>Example
</h2><h2>(c) - Simplify
</h2><h2>
</h2><h2>45−−√5–√
</h2><h2>Solution
</h2><h2>(c) -
</h2><h2>
</h2><h2>45−−√5–√=45/5−−−−√=9–√=3
</h2><h2>Therefore,
</h2><h2>
</h2><h2>45−−√5–√=3</h2>
