Enter mixed fractions.

SOLUTION

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

ALTERNATIVE SOLUTION

● Convert the first number to an improper fraction.

$\mathrm{\color{#3a5998}2\color{black}\dfrac{\color{#3a5998}3}{\color{#3a5998}5}=\dfrac{\color{#3a5998}13}{\color{#3a5998}5}}$

● Convert the second number to an improper fraction.

$\mathrm{\color{chocolate}1\color{black}\dfrac{\color{chocolate}5}{\color{chocolate}7}=\dfrac{\color{chocolate}12}{\color{chocolate}7}}$

● The denominators are unlike. Find their LCM.

$\mathrm{LCM(\color{#3a5998}5\color{black},\color{chocolate}7\color{black})=\color{purple}35}$

● Multiply both the numerator and denominator of the first fraction by 35 ÷ 5 = 7.

$\mathrm{\dfrac{\color{#3a5998}13}{\color{#3a5998}5}=\dfrac{\color{#3a5998}13\color{black}\times\color{darkred}7}{\color{#3a5998}5\color{black}\times\color{darkred}7}=\dfrac{\color{#3a5998}91}{\color{#3a5998}35}}$

● Multiply both the numerator and denominator of the second fraction by 35 ÷ 7 = 5.

$\mathrm{\dfrac{\color{chocolate}12}{\color{chocolate}7}=\dfrac{\color{chocolate}12\color{black}\times\color{olive}5}{\color{chocolate}7\color{black}\times\color{olive}5}=\dfrac{\color{chocolate}60}{\color{chocolate}35}}$

● The fraction with a bigger numerator is larger.

$\mathrm{\dfrac{\color{#3a5998}91}{\color{#3a5998}35}>\dfrac{\color{chocolate}60}{\color{chocolate}35}}$

● So, the first fraction is bigger.

$\mathrm{\color{#3a5998}2\color{black}\dfrac{\color{#3a5998}3}{\color{#3a5998}5}>\color{chocolate}1\color{black}\dfrac{\color{chocolate}5}{\color{chocolate}7}}$

OTHER INFORMATION

👉 Click here to see how we find the LCM of 5 and 7.

👉 Click here to see how we convert $\mathrm{\color{#3a5998}2\dfrac{\color{#3a5998}3}{\color{#3a5998}5}}$ to an improper fraction.

👉 Click here to see how we convert $\mathrm{\color{chocolate}1\dfrac{\color{chocolate}5}{\color{chocolate}7}}$ to an improper fraction.

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WHAT IS COMPARING MIXED FRACTIONS CALCULATOR?

Comparing mixed fractions calculator,

Compares the entered mixed numbers, whole numbers and fractions using two different methods: (i) the common denominator method and (ii) the cross multiplication method.
Illustrates the solution steps with animations.

It is possible to add negative numbers using this calculator. To enter a negative mixed number start with a "-" sign in the whole part.

If one of the numbers is an integer, keep the numerator and denominator empty and write the integer to the whole part.

$Adding fractions$

If one of the numbers is a fraction (without the whole part) keep the whole part empty.

$Adding negative fractions$

To enter a negative fraction put "-" symbol to the whole part.

HOW TO USE THE COMPARING MIXED FRACTIONS CALCULATOR?

You can use the comparing mixed fractions calculator in two ways.

USER INPUTS

You can enter positive or negative whole numbers, fractions 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 mixed 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.
CLEARING THE INPUT BOXES

To compare some other mixed numbers 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.