Question

The newspapers cover page is 3/8 text and photographs filled 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

Answer 1

The fraction of text -3/8 of the cover page
From this fraction of text only 2/5 of the text is about endangered species
We are asked to find out what the fraction of the cover page is that covers endangered species
In this 2/5 of 3/8 is about endangered species
Therefore to obtain the answer we need to multiply the two fractions
2/5 * 3/8
Fraction of the cover page about endangered species is therefore = 2/5 * 3/8
= 0.15

Answer 2

The article about endangered species is  ³/₂₀ of the cover page

Further explanation

Order of Operations in Mathematics follow this following rule :

1. Parentheses
2. Exponents
3. Multiplication and Division
4. Addition and Subtraction

This rule is known as the PEMDAS method.

In working on a mathematical problem, we first calculate operation that is in parentheses, follow by exponentiation, then multiplication or division, and finally addition or subtraction.

Let us tackle the problem !

Given:

Total Area of Cover Page = X

Text Section is 3/8 the newspapers cover page

$\texttt{Text Section Area} = \frac{3}{8} \times \texttt{Total Area of Cover Page}$

$\texttt{Text Section Area} = \boxed {\frac{3}{8}X}$

The rest of cover page is Photographs Section

$\texttt{Photographs Section Area} = (1 - \frac{3}{8}) \times \texttt{Total Area of Cover Page}$

$\texttt{Photographs Section Area} = \boxed {\frac{5}{8}X}$

2/5 of the text is an article about endangered species.

$\texttt{Endangered Species Article Section Area} = \frac{2}{5} \times \texttt{Text Section Area}$

$\texttt{Endangered Species Article Section Area} = \frac{2}{5} \times \frac{3}{8}X$

$\texttt{Endangered Species Article Section Area} = \frac{2 \times 3}{5 \times 8}X$

$\texttt{Endangered Species Article Section Area} = \frac{6}{40}X$

$\texttt{Endangered Species Article Section Area} = \frac{6 \div 2}{40 \div 2}X$

$\texttt{Endangered Species Article Section Area} = \boxed {\frac{3}{20}X}$

Learn more

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Answer details

Grade: Middle School

Subject: Mathematics

Chapter: Percentage

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent