Models with Fraction Addition and Subtraction



A royal gardener named Mabel planted 28 bushes in 4 rows. All of the bushes were either rose bushes or lilac bushes. The shaded parts of the model represent the lilac bushes.

Which equation shows how to find the fraction of the bushes that are lilac bushes?

4.3(E) represent and solve addition and subtraction of fractions with equal denominators using objects and pictorial models that build to the number line and properties of operations

Year:2022

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Answer explanation

Look at the denominators. Ask yourself: how many total bushes are there? 28, right? That's why the answer choice with a 7 as a denominator is incorrect; that answer choice is saying there are ONLY 7 total bushes, but we know that is wrong because there are 28.

What operation will find the fraction of the candy bar Cara and Marcus ate altogether?

• addition

• subtraction

• multiplication

• division

An _______________ represents a fraction as a rectangle, divided into equal parts. An easy way to do this is to use graph paper.

• length model

• tape diagram

• area model

• equation

• a rectangular visual model resembling a piece of tape with. divisions used to assist mathematical calculations.

• area model

• tape diagram

• equation

• length model

represent and solve addition and subtraction of fractions with unequal denominators referring to the same whole using objects and pictorial models and properties of operations

• F

• G

• H

• J

add and subtract positive rational numbers fluently

• F

• G

• H

• J