## TOOL: COMPARING FRACTIONS CALCULATOR

#### COMPARING FRACTIONS CALCULATOR

Enter the numerators and denominators.

SOLUTION

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

Copied to clipboard
Copy Text

## 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.

• You can copy the generated solution by clicking on the "Copy Text" link, appaers under the solution panel.