Question

2. Express each of the following fractions or mixed fraction as a percent
3/5
14/625
2 2/5
1 7/8​

Answer 1

Question

Express each of the following fractions or mixed fraction as a percent.

(i) $\sf \frac{3}{5}$

(ii) $\sf \frac{14}{625}$

(iii) $\sf 2\frac{2}{5}$

(iv) $\sf 1\frac{7}{8}$

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Steps and explanation required to solve the question.

(i) $\sf \frac{3}{5}$

We know that $\sf \frac{3}{5}$ is the same as ⇒ $\sf 3\div 5$.

Then using  Long Division for 3 divided by 5  gives us ⇒

$\sf 0.6$

Converting our number to a percentage:

$\sf 0.6\times100$

$\sf 60$

$\sf \bf \therefore \ \frac{3}{5} =60 \%$

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(ii) $\sf \frac{14}{625}$

We know that $\sf \frac{14}{625}$ is the same as ⇒ $\sf 14\div 625$

Then using  Long Division for 14 divided by 625  gives us ⇒

$\sf 0.0224$

Converting our number to a percentage:

$\sf 0.0224\times 100$

$\sf 2.24$

$\sf \bf \therefore\ \frac{14}{625} =2.24\%$

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(iii) $\sf 2\frac{2}{5}$

First, we will have to convert the mixed fraction to an improper fraction. For doing so we need to follow some simple instructions which I will be telling.

To find the numerator part of the improper fraction we have to multiply the whole number to the denominator of the fractional part and add the product to the numerator part.

To find the denominator part we simply use the same denominator in the fractional part of the mixed fraction.

After doing these steps we get ⇒

$\sf 2\frac{2}{5} =\frac{(2\times 5)+2 }{5}$

$\sf 2\frac{2}{5}=\frac{12}{5}$

We know that $\sf\frac{12}{5}$ is the same as ⇒ $\sf 12\div 5$

Then using  Long Division for 12 divided by 5  gives us ⇒

$\sf 2.4$

Converting our number to a percentage:

$\sf 2.4\times 100$

$\sf 240$

$\sf\bf \therefore \ 2\frac{2}{5}=240\%$

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(iv) $\sf 1\frac{7}{8}$

First, we will have to convert the mixed fraction to improper fraction. For doing so we need to follow some simple instructions which I will be telling.

To find the numerator part of the improper fraction we have to multiply the whole number to the denominator of the fractional part and add the product to the numerator part.

To find the denominator part we simply use the same denominator in the fractional part of the mixed fraction.

After doing these steps we get ⇒

$\sf 1\frac{7}{8} =\frac{(1\times8)+7 }{8}$

$\sf 1\frac{7}{8}=\frac{15}{8}$

We know that $\sf \frac{15}{8}$ is the same as ⇒ $\sf 15\div 8$

Then using  Long Division for 15 divided by 8  gives us ⇒

$\sf 1.875$

Converting our number to a percentage:

$\sf 1.875\times 100$

$\sf 187.5$

$\sf \bf \therefore\ 1\frac{7}{8} =187.5\%$

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Answer 2

Step-by-step explanation:

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