SOLUTION

So, the first fraction is greater than the second one.

ALTERNATIVE SOLUTION

● Convert the first number to a fraction.

$\mathrm{\color{#3a5998}3=\dfrac{\color{#3a5998}3}{\color{#3a5998}1}}$

● Convert the second number to an improper fraction.

$\mathrm{\color{chocolate}2\color{black}\dfrac{\color{chocolate}6}{\color{chocolate}7}=\dfrac{\color{chocolate}20}{\color{chocolate}7}}$

● The denominators are unlike. Find their LCM.

$\mathrm{LCM(\color{#3a5998}1\color{black},\color{chocolate}7\color{black})=\color{purple}7}$

● Multiply both the numerator and denominator of the first fraction by 7 ÷ 1 = 7.

$\mathrm{\dfrac{\color{#3a5998}3}{\color{#3a5998}1}=\dfrac{\color{#3a5998}3\color{black}\times\color{darkred}7}{\color{#3a5998}1\color{black}\times\color{darkred}7}=\dfrac{\color{#3a5998}21}{\color{#3a5998}7}}$

● The fraction with a bigger numerator is larger.

$\mathrm{\dfrac{\color{#3a5998}21}{\color{#3a5998}7}>\dfrac{\color{chocolate}20}{\color{chocolate}7}}$

● So, the first fraction is bigger.

$\mathrm{\color{#3a5998}3\color{black}>\color{chocolate}2\color{black}\dfrac{\color{chocolate}6}{\color{chocolate}7}}$

OTHER INFORMATION

👉 Click here to see how we find the LCM of 1 and 7.

👉 Click here to see how we convert 3 to a fraction.

👉 Click here to see how we convert $\mathrm{\color{chocolate}2\dfrac{\color{chocolate}6}{\color{chocolate}7}}$ to an improper fraction.

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INFORMATION

WHAT IS COMPARING MIXED AND WHOLE NUMBERS CALCULATOR?

Comparing mixed and whole numbers calculator,

Compares a given whole number with a given mixed fraction; and
Illustrates the solution steps with animations.

USER INPUTS

You can enter positive or negative whole numbers or mixed numbers to the input boxes and click on the "CALCULATE" button. The result and explanations appaer below the calculator
RANDOM INPUTS

You can click on the DIE ICON next to the input boxes. If you use this property, two random numbers are generated and entered to the calculator, automatically. You can see the result and explanations below the calculator. You can create your own examples and practice using this property.
SELECTING THE INPUT TYPE

You can choose whether the first or the second number is a whole number using the dropdown box on top of the input boxes.
CLEARING THE INPUT BOXES

To compare some other numbers you can clear the input box by clicking on the CLEAR button under the input box.
COPYING & DOWNLOADING THE SOLUTION
- You can copy the generated solution by clicking on the "Copy Text" link, appaers under the solution panel.
- Even you can download the solution as an image file with .jpg extension if you click on the "Download Solution" link at the bottom of the solution panel. You can share the downloaded image file.