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A newspaper’s cover page is 3/8 text, and photographs fill the rest. If 2/5 of the text is an article about endangered species, what fraction of the cover page is the article about endangered species?

A newspapers cover page is 38 text and photographs fill the rest If 25 of the text is an article about endangered species what fraction of the cover page is the class=

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lublana

Answer:

[tex]\frac{3}{20}[/tex]

Step-by-step explanation:

Let x be the cover page

We are given that a newspaper 's cover page is [tex]\frac{3}{8}[/tex] text and photograph fill the rest.

We have to find that how much part of cover's page is the article about endangered species

Text =[tex]\frac{3}{8}x[/tex]

Remaining part =[tex]x-\frac{3}{8} x[/tex]

Remaining part =[tex]\frac{8x-3x}{8}=\frac{5}{8} x[/tex]

Therefore, a newspaper;s cover page fill with  Photograph =[tex]\frac{5}{8}[/tex]

If the article about endangered species=[tex]\frac{2}{5}[/tex] of text

Therefore, the article about endangered species=[tex]\frac{2}{5}\times\frac{3x}{8}=\frac{3}{20}x[/tex]

Hence,  the article about endangered species is [tex]\frac{3}{20} [/tex]of the cover page.

ardni313

The article about endangered species = [tex]=\displaystyle \frac{3}{20}[/tex] of the cover page

Further explanation  

Fraction numbers are known as numerator and denominator  

On a number line, fractions are expressed in points that lie between two integers  

The general form of fractions is  

[tex]\large{\boxed{\bold{\frac{a}{b}} }[/tex]  

a = numerator  

b = denominator  

Mixed fractions consist of whole number and proper fractions  

There are several steps in adding fraction operations  

  • 1. the denominators must be the same, if not then  

a. Multiply top and bottom of each fraction by the denominator of the other. or  b. we can use Least Common Denominator which is the smallest of all the common denominators.  

  • 2: Add the numerators and put over the denominator  
  • 3: Simplify the fraction  

There are several steps to multiply fractions  

  • 1. Multiply the numerators  
  • 2. Multiply the denominators  
  • 3. Simplify the fraction

A newspaper’s cover page is 3/8 text,and 2/5 of the text is an article about endangered species

we translate this sentence into equation :

[tex]\displaystyle \frac{2}{5}\times\frac{3}{8}[/tex]

We can use several steps to multiply fractions  : multiply both numerators and denominators and then simplify the fraction

[tex]\displaystyle \frac{2}{5}\times\frac{3}{8}=\frac{6}{40}[/tex]

[tex]=\:\large{\boxed{\bold{\frac{3}{20}}}[/tex]

Learn more  

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Keywords : a newspaper's cover page,multiplying, fractions

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