Enter the numerators and denominators.

SOLUTION

⟲ Replay

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

ALTERNATIVE METHOD

● The denominators are unlike. Find their LCM.

$\mathrm{LCM(\color{#3a5998}3\color{black},\color{chocolate}4\color{black})=\color{purple}12}$

● Multiply both the numerator and denominator of the first fraction by 12 ÷ 3 = 4.

$\mathrm{\dfrac{\color{#3a5998}2}{\color{#3a5998}3}=\dfrac{\color{#3a5998}2\color{black}\times\color{darkred}4}{\color{#3a5998}3\color{black}\times\color{darkred}4}=\dfrac{\color{#3a5998}8}{\color{#3a5998}12}}$

● Multiply both the numerator and denominator of the second fraction by 12 ÷ 4 = 3.

$\mathrm{\dfrac{\color{chocolate}3}{\color{chocolate}4}=\dfrac{\color{chocolate}3\color{black}\times\color{olive}3}{\color{chocolate}4\color{black}\times\color{olive}3}=\dfrac{\color{chocolate}9}{\color{chocolate}12}}$

● The fraction with a bigger numerator is larger.

$\mathrm{\dfrac{\color{#3a5998}8}{\color{#3a5998}12}<\dfrac{\color{chocolate}9}{\color{chocolate}12}}$

● So, the second fraction is bigger.

$\mathrm{\dfrac{\color{#3a5998}2}{\color{#3a5998}3}<\dfrac{\color{chocolate}3}{\color{chocolate}4}}$

OTHER INFORMATION

👉 Click here to see how we find the LCM of 3 and 4.

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INFORMATION

WHAT IS COMPARING FRACTIONS CALCULATOR?

Comparing fractions calculator,

Compares the entered fractions using the cross-multiplication and like denominators methods and
Illustrates all solution steps.

HOW TO USE THE COMPARING FRACTIONS CALCULATOR?

You can use the comparing fractions calculator in two ways.

USER INPUTS

You can enter positive or negative whole numbers to the input boxes and click on the "COMPARE" 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 fractions 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.
CLEARING THE INPUT BOXES

To compare some other fractions you can clear the input boxes by clicking on the CLEAR button.
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.