Equivalent Fractions

Equivalent Fractions

Multiple Choice

Review from yesterday! What fraction is equivalent to

 $\frac{1}{2}$ ? Use the area models to help you. 

•  $\frac{3}{3}$  

•  $\frac{2}{6}$  

•  $\frac{3}{6}$  

•  $\frac{3}{8}$  

Multiple Choice

How do we change fourths to twelfths?

 $\frac{1}{4}$  ____ =  $\frac{3}{12}$  

•  $\times\frac{3}{3}$  

•  $+\frac{2}{8}$  

•  $\times\frac{3}{4}$  

Multiple Choice

Which equation matches this area model?

• $\frac{1}{5}\times\frac{2}{5}=\frac{2}{10}$

• $\frac{1}{5}\times\frac{2}{2}=\frac{2}{10}$
  

• $\frac{1}{5}+\frac{2}{2}=\frac{2}{10}$

Multiple Select

Select all that are equivalent to

 $\frac{1}{3}$  

•  $\frac{2}{6}$  

•  $\frac{3}{6}$  

•  $\frac{3}{9}$  

•  $\frac{4}{12}$  

•  $\frac{4}{10}$  

Discuss: How can we prove that

 $\frac{4}{5}=\frac{8}{10}$  ?

First, show $\frac{4}{5}$  on the area model.

Then, partition to show tenths.

So

 $\frac{4}{5}=\frac{4\times2}{5\times2}=\frac{8}{10}$  

Multiple Choice

THERE IS AN IMPOSTER AMONG US! Which fraction is NOT equivalent to  $\frac{3}{4}$  (Red) ?

• Orange (12/16)

• Yellow (5/6)

• Lime (9/12)

• Cyan (6/8)

• Blue (15/20)

We can prove all except Yellow are equivalent to Red!

• Orange:

   $\frac{3}{4}=\ \frac{3\times4}{4\times4}=\frac{12}{16}$  

• Lime:  $\frac{3}{4}=\ \frac{3\times3}{4\times3}=\frac{9}{12}$  

• Cyan:  $\frac{3}{4}=\ \frac{3\times2}{4\times2}=\frac{6}{8}$  

• Blue:  $\frac{3}{4}=\ \frac{3\times5}{4\times5}=\frac{15}{20}$  

• Yellow:  $\frac{3}{4}\ne\frac{5}{6}$  Why?

Multiple Choice

TRUE OR FALSE

 $\frac{7}{10}=\frac{28}{30}$  

• True

• False

 $\frac{7}{10}\ne\frac{28}{30}$  

• However,  $\frac{7}{10}=\frac{?}{30}$  

•  $\frac{7}{10}=\frac{21}{30}$  because  $\frac{7\times3}{10\times3}=\frac{28}{30}$  

• Also,  $\frac{7}{10}=\frac{28}{?}$  

•  $\frac{7}{10}=\frac{28}{40}$  because  $\frac{7\times4}{10\times4}=\frac{28}{30}$  

Multiple Choice

How would you use multiplication to change  $\frac{5}{6}$  to twenty-fourths?

•  $\times4$  

•  $\times5$  

•  $\times\frac{4}{4}$  

•  $\times\frac{5}{5}$  

 $\frac{5}{6}=\frac{?}{24}$  

•  $\frac{5}{6\times4}=\frac{?}{24}$  

•  $\frac{5\times4}{6\times4}=\frac{?}{24}$  

•  $\frac{5\times4}{6\times4}=\frac{20}{24}$  

Open Ended

Name any fraction that is equivalent to $\frac{2}{3}$ .

Open Ended

Using multiplication, prove that  $\frac{10}{15}$   is equivalent to $\frac{2}{3}$ .

Questions?

(before we move to some review!)

Rouding Decimals!

What are rules and strategies for rounding?

Round 836.25 to each place value listed.

• Rounded to the nearest ten?

• 840

• Rounded to the nearest tenth?

• 836.3

• Rounded to the nearest whole number?

• 836

• Ready to practice?!

Multiple Choice

Round 247.983 to the nearest hundredth.

• 200

• 300

• 247.98

• 247.99

• 247.983

Multiple Choice

Round 139.91 to the nearest whole number.

• 140

• 139

• 130

• 100

Multiple Choice

Round 902.842 to the nearest tenth.

• 900

• 902

• 902.8

• 902.9

• 902.84

Multiple Choice

What place value is underlined? 567.239

• tens

• tenths

• ones

• hundreds

• hundredths

Multiple Choice

Round to the underlined place. 567.239

• 567.22

• 567.23

• 567.24

Multiple Choice

Round 256.43 to the leading digit.

• 256

• 257

• 200

• 300

Open Ended

Martha's pedometer said she walked 3.748 miles. She came home and announced that she walked about 4 miles. Her brother said no, you walked about 3.7 miles. Their dad said they are both correct. How could they both be correct?

Questions?