Identifying the Fraction 3/5: Mathematical Number Recognition

The number 35 \frac{3}{5} is found

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find the range where the number is located
00:03 Let's draw the number line and plot the given number
00:10 Place each number in the range with common denominator (5)
00:15 Reduce the whole numbers and find the range
00:21 It appears the number is in this range
00:29 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

The number 35 \frac{3}{5} is found

2

Step-by-step solution

Let's try to understand what is bigger and what is smaller than the number 35 \frac{3}{5}

Since the denominator is 5, both the larger and smaller numbers will also have a denominator of 5:

?5<35<?5 \frac{?}{5}<\frac{3}{5}<\frac{?}{5}

Now let's complete the numerators with numbers that will help us reach whole numbers in fractions as follows:

05<35<55 \frac{0}{5}<\frac{3}{5}<\frac{5}{5}

Let's reduce the fractions as follows:

05=0 \frac{0}{5}=0

5:55:5=11=1 \frac{5:5}{5:5}=\frac{1}{1}=1

In other words, the fraction is between 0 and 1.

Let's try to find a smaller range, meaning consecutive numbers before and after the fraction's numerator as follows:

15<34<45 \frac{1}{5}<\frac{3}{4}<\frac{4}{5}

3

Final Answer

between 15 \frac{1}{5} to 45 \frac{4}{5}

Practice Quiz

Test your knowledge with interactive questions

Without calculating, determine whether the quotient in the division exercise is less than 1 or not:

\( 5:6= \)

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