Omparing ractions Using Their Decimal Equivalents.

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Presentation transcript:

omparing ractions Using Their Decimal Equivalents

Comparing Fractions Using Their Decimal Equivalents Step 1 Change each fraction to a decimal. Numerator ÷ Denominator (Top Number) ÷ (Bottom Number)

Comparing Fractions Using Their Decimal Equivalents Step 2 Compare the decimals.

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

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

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

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 > 0.428

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.

< 0.857 0.444 Which sign belongs between the two fractions? ÷ ÷ 6 7 = 4 ÷ 9 = < 0.857 0.444

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

Change Each Fraction to a Decimal 0.75 0.83 Five-sixths is the greater fraction.

Comparing Fractions Using Their Decimal Equivalents Can you solve these problems?

0.428 0.444 < A

0.444 0.375 < B

0.4 0.571 < C

0.5 0.5 = D

0.6 0.666 < E

0.875 0.714 < F

0.4 0.5 < G

0.857 0.666 < H

0.666 0.666 = I

0.285 0.428 < J

0.5 0.333 < K

0.375 0.333 < L

D

0.166 0.375 < M

0.444 0.5 < N