Enter the numerators and denominators.

SOLUTION

Convert the improper fraction to a mixed number.

SOLUTION STEPS

● Move the negative sign to the numerator.

$\mathrm{\dfrac{\color{#3a5998}3}{\color{#3a5998}-4}+\dfrac{\color{chocolate}7}{\color{chocolate}3}}$ $\mathrm{=\dfrac{\color{#3a5998}-3}{\color{#3a5998}4}+\dfrac{\color{chocolate}7}{\color{chocolate}3}}$

● Denominators are unlike. To obtain like denominators, multiply the numerator and denominator of each fraction by the same number.

$\mathrm{\underset{(3)}{\dfrac{\color{#3a5998}-3}{\color{#3a5998}4}}+\underset{(4)}{\dfrac{\color{chocolate}7}{\color{chocolate}3}}}$ $\mathrm{=\dfrac{\color{#3a5998}-3\color{black}\times3}{\color{#3a5998}4\color{black}\times3}}$ $\mathrm{+\dfrac{\color{chocolate}7\color{black}\times4}{\color{chocolate}3\color{black}\times4}}$

● Add the numerators.

$\mathrm{=\dfrac{\color{#3a5998}-9}{\color{#3a5998}12}+\dfrac{\color{chocolate}28}{\color{chocolate}12}}$ $\mathrm{=\dfrac{\color{#3a5998}-9+\color{chocolate}28}{\color{#3a5998}12}}$

● Convert the result to a mixed number.

$\mathrm{=\dfrac{19}{12}}$ $\mathrm{=\color{olive}1\color{black}\dfrac{\color{olive}7}{\color{olive}12}}$

OTHER INFORMATION

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

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INFORMATION

WHAT IS ADDING FRACTIONS CALCULATOR?

Adding fractions calculator,

Calculates the addition of fractions and
Illustrates the solution steps with animations.

HOW TO USE THE ADDING FRACTIONS CALCULATOR?

You can use the adding fractions calculator in two ways.

USER INPUTS

You can enter positive or negative whole 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 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 find the summation of some other fractions 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.