# Mixed Numbers With Unlike Denominators Worksheets Learn how to add two alloyed numbers together.

This assignment includes:

When abacus alloyed numbers, you can use a agnate adjustment to abacus two fractions, but this time you accept to add accomplished numbers as well.

Remember, a alloyed cardinal is a aggregate of an accumulation (a accomplished number) and a fraction, like ( 3 frac{1}{3} ).

What is ( 1 frac{1}{3} 2 frac{2}{9})?

Let’s breach this adding bottomward into steps. The adjustment beneath allows you to allotment the alloyed numbers into fractions and accomplished numbers, so that you can add them separately.

Step 1: Allotment the alloyed numbers, so you are larboard with the accomplished numbers calm and the fractions together.

( 1 2)

and

( frac{1}{3} frac{2}{9} )

You can bound add the accomplished numbers calm to accomplish 3.

( 1 2 = 3)

Step 2: Focus on the fractions now.

(frac{1}{3} frac{2}{9} = ?)

The fractions accept altered denominators, so you charge to change one into its agnate atom afore you add them.

You can’t abridge ( frac{2}{9} ) any further, so you will accept to change ( frac{1}{3} ).

( frac{1}{3} = frac{3}{9} )

By adding the numerator and denominator by 3, you can acquisition an agnate fraction.

Step 3: Now that the denominators are the same, you can add the numerators together.

( frac{3}{9} frac{2}{9} = frac{5}{9})

Step 4: Finally, add the answers from the accomplished numbers and fractions together.

( 3 frac{5}{9} = 3 frac{5}{9})

Jeannie and Oliver ordered lots of pizzas. Jeannie ate ( 2 frac{1}{4} ) pizzas and Oliver ate ( 1 frac{1}{8} ). How abundant pizza did they eat altogether?

Let’s address that as a calculation.

( 2 frac{1}{4} 1 frac{1}{8})

Step 1: Allotment the fractions and accomplished numbers to add them separately.

( 2 1 = 3)

and

( frac{1}{4} frac{1}{8} )

Step 2: Change one of the fractions so they both accept the aforementioned denominator.

( frac{1}{4} = frac{2}{8} )

Step 3: Add the numerators together.

( frac{2}{8} frac{1}{8} = frac{3}{8} )

Step 4: Add the accomplished cardinal acknowledgment and atom acknowledgment together.

( 3 frac{3}{8} = 3 frac{3}{8} )

So Jeannie and Oliver ate ( 3 frac{3}{8} ) pizzas.

Here’s a account to admonish you of the accomplish while you work:

Play Guardians: Defenders of Mathematica to apprentice added and acuminate your abilities on this topic.

Have a attending at these added resources.

Mixed Numbers With Unlike Denominators WorksheetsMixed Numbers With Unlike Denominators Worksheets
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