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omparing ractions Using Their Decimal Equivalents

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**Comparing Fractions Using Their Decimal Equivalents**

Step 1 Change each fraction to a decimal. Numerator ÷ Denominator (Top Number) ÷ (Bottom Number)

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**Comparing Fractions Using Their Decimal Equivalents**

Step 2 Compare the decimals.

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**Next, compare the decimals.**

Example #1 ~ Compare these fractions. 4 ÷ 5 = 3 ÷ 7 = 0.8 0.428 Next, compare the decimals.

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Comparing Decimals 1 Line up the decimal points. Use zeros to make an equal number of decimal places. 0.800 0.428

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Comparing Decimals 2 Start by comparing the greatest place. Find the first place where the digits are different. 0.800 0.428

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**Compare the values of the digits.**

Comparing Decimals 3 Compare the values of the digits. 0.8 is greater than 0.4 So, 0.8 >

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**The greater than symbol can be placed between these fractions.**

Example #1 ~ Compare these fractions. 0.8 0.428 < < = The greater than symbol can be placed between these fractions.

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**< 0.857 0.444 Which sign belongs between the two fractions? ÷ ÷ 6 7**

= 4 ÷ 9 = < 0.857 0.444

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**0.857 0.444 < < = greater than**

Which sign belongs between the two fractions? 0.857 0.444 < < = greater than

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**Change Each Fraction to a Decimal**

0.75 0.83 Five-sixths is the greater fraction.

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**Comparing Fractions Using Their Decimal Equivalents**

Can you solve these problems?

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0.428 0.444 < A

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0.444 0.375 < B

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0.4 0.571 < C

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0.5 0.5 = D

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0.6 0.666 < E

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0.875 0.714 < F

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0.4 0.5 < G

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0.857 0.666 < H

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0.666 0.666 = I

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0.285 0.428 < J

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0.5 0.333 < K

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0.375 0.333 < L

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D

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0.166 0.375 < M

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0.444 0.5 < N

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