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pishuonlain [190]
3 years ago
11

Wright 120 percent as a fraction

Mathematics
2 answers:
user100 [1]3 years ago
8 0

p\%=\dfrac{p}{100}\\\\120\%=\dfrac{120}{100}=\dfrac{12}{10}=\dfrac{12:2}{10:2}=\dfrac{6}{5}=\dfrac{5+1}{5}=\dfrac{5}{5}+\dfrac{1}{5}=1\dfrac{1}{5}\\\\Answer:\ \boxed{120\%=1\dfrac{1}{5}}

Step2247 [10]3 years ago
7 0

Answer:

1.2 is the decimal, 1 1/5 will be the fraction.

Step-by-step explanation:

Convert the percentage to a fraction by dividing by 100 which leaves us with 1.2

We split the value into two parts, 1 and 0.2

1 is just 1 as a fraction

0.2 is equivalent to 1/5

Together it is 1 1/5

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<span>3<span><span>√5</span>+<span>√6</span></span></span>

We rationalise the denominator by multiplying the expression by the conjugate of the denominator. <span><span>√5</span>−<span>√6</span></span>

<span><span>3⋅<span>(<span>√5</span>−<span>√6</span>)</span></span><span><span>(<span>√5</span>+<span>√6</span>)</span>⋅<span>(<span>√5</span>−<span>√6</span>)</span></span></span>

<span>=<span><span>3⋅<span>(<span>√5</span>)</span>+3⋅<span>(−<span>√6</span>)</span></span><span><span>(<span>√5</span>+<span>√6</span>)</span>⋅<span>(<span>√5</span>−<span>√6</span>)</span></span></span></span>

<span>=<span><span>3<span>√5</span>−3<span>√6</span></span><span><span>(<span>√5</span>+<span>√6</span>)</span>⋅<span>(<span>√5</span>−<span>√6</span>)</span></span></span></span>

<span>Applying identity
<span><span>(a+b)</span><span>(a−b)</span>=<span>a2</span>−<span>b2</span></span> to the denominator.</span>

<span>=<span><span>3<span>√5</span>−3<span>√6</span></span><span><span><span>(<span>√5</span>)</span>2</span>−<span><span>(<span>√6</span>)</span>2</span></span></span></span>

<span>=<span><span>3<span>√5</span>−3<span>√6</span></span><span>5−6</span></span></span>

<span>=<span><span>3<span>√5</span>−3<span>√6</span></span><span>−1</span></span></span>

<span>=−3<span>√5</span>+3<span>√6</span></span>

<span>=3<span>√6</span>−3<span>√<span>5
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