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A decimal point '.' separates smaller numbers from larger numbers. Numbers that are less than '1' go to the right of a decimal point while numbers '1' and larger are placed to the left of the decimal point. Fractions also separate larger numbers from smaller numbers and tell us the same things as a decimal number. For example, the decimal 76.9 tells us that the larger number is 76 as it is to the left of the decimal and the '9' is smaller as it is to the right of the decimal and is equal to 9 tenths of the number '1'. As a fraction, this would look like: 76 ^{9}⁄_{10}

If the decimal number was 4.006, this would tell us that the larger number is 4 as it is to the left of the decimal and the smaller number is 6 as it is to the right and is equal to 6 one thousandths. As a fraction it would look like:

4
^{6}⁄_{1000}

1.

Find the correct fraction that will match up to the decimal.

3.4 + 4.6 + 5.7 - 6.8

3.4 + 4.6 + 5.7 - 6.8

3 ^{4}⁄_{01} + 4 ^{6}⁄_{01} + 5 ^{7}⁄_{01} - 6 ^{8}⁄_{01}

3 ^{4}⁄_{1} + 4 ^{6}⁄_{1} + 5 ^{7}⁄_{1} - 6 ^{8}⁄_{1}

3 ^{4}⁄_{10} + 4 ^{6}⁄_{10} + 5 ^{7}⁄_{10} + 6 ^{8}⁄_{10}

3 ^{4}⁄_{10} + 4 ^{6}⁄_{10} + 5 ^{7}⁄_{10} - 6 ^{8}⁄_{10}

2.

Find the correct fraction that will match up to the decimal.

6749.06 + 7321.1 + 100.002

6749.06 + 7321.1 + 100.002

6749 ^{6}⁄_{100} + 7321 ^{1}⁄_{10} + 100 ^{2}⁄_{1000}

6749 ^{6}⁄_{10} + 7321 ^{1}⁄_{1} + 100 ^{2}⁄_{100}

6749 ^{6}⁄_{10} + 7321 ^{1}⁄_{1} - 100 ^{2}⁄_{100}

6749 ^{6}⁄_{01} + 7321 ^{1}⁄_{1} + 100 ^{2}⁄_{001}

This number tells us we have 6 thousands, 7 hundreds, 4 tens, 9 units and 6 hundredths. We also have 7 thousands, 3 hundreds, 2 tens, 1 unit and 1 tenth. Finally we have 1 hundred, 0 tens, 0 units and 2 thousandths. Note that we are adding the numbers here. Put into fraction format we get 6749 ^{6}⁄_{100} + 7321 ^{1}⁄_{10} + 100 ^{2}⁄_{1000}

3.

Find the correct fraction that will match up to the decimal.

69.03 - 22.005

69.03 - 22.005

69 ^{3}⁄_{100} + 22 ^{5}⁄_{1000}

69 ^{3}⁄_{10} - 22 ^{5}⁄_{100}

69 ^{3}⁄_{100} - 22 ^{5}⁄_{1000}

69 ^{3}⁄_{01} + 22 ^{5}⁄_{001}

This number tells us we have 6 tens and 9 units and 3 hundredths. We also have 2 tens and 2 units and 5 thousandths. Note that we are subtracting one number from the other. Put into fraction format we get 69 ^{3}⁄_{100} - 22 ^{5}⁄_{1000}

4.

Find the correct fraction that will match up to the decimal.

12.008 + 54.07 + 30.001

12.008 + 54.07 + 30.001

12 ^{8}⁄_{100} + 54 ^{7}⁄_{10} + 30 ^{1}⁄_{100}

12 ^{8}⁄_{1000} + 54 ^{7}⁄_{100} + 30 ^{1}⁄_{1000}

12 ^{8}⁄_{001} + 54 ^{7}⁄_{01} + 30 ^{1}⁄_{001}

12 ^{8}⁄_{1} + 54 ^{7}⁄_{1} + 30 ^{1}⁄_{1}

This number tells us we have 1 ten and 2 units and 8 thousandths. We also have 5 tens and 4 units and 7 hundredths. Finally, we have 3 tens and 0 units and 1 thousandth. Note that we are adding all the numbers. Put into fraction format we get

12^{8}⁄_{1000} + 54 ^{7}⁄_{100} + 30 ^{1}⁄_{1000}

12

5.

Find the correct fraction that will match up to the decimal.

47.08 + 11.7 - 32.09

47.08 + 11.7 - 32.09

47 ^{8}⁄_{100} + 11 ^{7}⁄_{10} - 32 ^{9}⁄_{100}

47 ^{8}⁄_{001} + 11 ^{7}⁄_{01} - 32 ^{9}⁄_{001}

47 ^{8}⁄_{100} + 11 ^{7}⁄_{10} + 32 ^{9}⁄_{100}

47 ^{8}⁄_{10} + 11 ^{7}⁄_{1} - 32 ^{9}⁄_{10}

This number tells us we have 4 tens and 7unit and 8 hundredths. We also have 1 ten and 1 unit and 7 tenths. Finally, we have 3 tens and 2 units and 9 hundredths. Note that we are adding and subtracting the numbers. Put into fraction format we get

47^{8}⁄_{100} + 11 ^{7}⁄_{10} - 32 ^{9}⁄_{001}

47

6.

Find the correct fraction that will match up to the decimal.

71.9 - 55.008 + 13.04 - 26.1

71.9 - 55.008 + 13.04 - 26.1

71 ^{9}⁄_{10} - 55 ^{8}⁄_{1000} + 13 ^{4}⁄_{100} + 26 ^{1}⁄_{10}

71 ^{9}⁄_{10} - 55 ^{8}⁄_{1000} + 13 ^{4}⁄_{100} - 26 ^{1}⁄_{10}

71 ^{9}⁄_{1} - 55 ^{8}⁄_{100} + 13 ^{4}⁄_{100} - 26 ^{1}⁄_{1}

71 ^{9}⁄_{10} + 55 ^{8}⁄_{100} - 13 ^{4}⁄_{100} - 26 ^{1}⁄_{1}

This number tells us we have 7 tens and 1 unit and 9 tenths. We also have 5 tens and 5 units and 8 thousandths. Next we have 1 ten and 3 units and 4 hundredths. Finally, we have 2 tents and 6 units and 1 tenth. Be careful to what which math symbol to use, i.e., addition or subtraction. Put into fraction format we get 71 ^{9}⁄_{10} - 55 ^{8}⁄_{1000} + 13 ^{4}⁄_{100} - 26 ^{1}⁄_{10}

7.

Find the correct fraction that will match up to the decimal.

10.9 + 88.001

10.9 + 88.001

10 ^{9}⁄_{10} + 88 ^{1}⁄_{100}

10 ^{9}⁄_{10} + 88 ^{1}⁄_{1000}

10 ^{9}⁄_{1} + 88 ^{001}⁄_{001}

98 + 10 ^{901}⁄_{1000}

This number tells us we have 1 ten and 0 unit and 9 tenths. We also have 8 tens and 8 units and 1 thousandths. Note that we are adding the numbers. Put into fraction format we get 10 ^{9}⁄_{10} + 88 ^{1}⁄_{1000}

8.

Find the correct fraction that will match up to the decimal.

1498.9

1498.9

1498 ^{9}⁄_{10}

1498 ^{9}⁄_{1}

1498 ^{1}⁄_{9}

1498 ^{9}⁄_{100}

This number tells us we have 1 thousand, 4 hundreds, 9 tens, 8 units and 9 tenths. Knowing the position of each number as it relates to a decimal, we get the answer in fraction format of 1498 ^{9}⁄_{10}

9.

Find the correct fraction that will match up to the decimal.

61.3 + 26.07

61.3 + 26.07

61 ^{3}⁄_{01} + 26 ^{7}⁄_{001}

61 ^{1}⁄_{3} + 61 ^{1}⁄_{07}

87 + ^{37}⁄_{100}

61 ^{3}⁄_{10} + 26 ^{7}⁄_{100}

This number tells us we have 6 tens and 1 unit and 3 tenths. We also have 2 tens and 6 units and 7 hundredths. Note that we are adding the numbers. Put into fraction format we get 61 ^{3}⁄_{10} + 26 ^{7}⁄_{100}

10.

Find the correct fraction that will match up to the decimal.

65.02

65.02

65 ^{2}⁄_{10}

65 ^{2}⁄_{1}

65 ^{2}⁄_{100}

65 ^{0}⁄_{2}

Each number represents a digit. The digits are known as units (or ones), tens, hundred, thousands, ten thousands and so on. These digits will appear to the left of a decimal point. Digits referred to as tenths, hundredths, thousandths, ten thousandths, etc. reflect that the numbers are small then 1 unit and they go to the right of a decimal. Units are one digit to the left. Tens are two digits to the left. Hundreds are three digits to the left. Thousands are four digits to the left and ten thousands are five digits to the left. In the same frame, tenths are one digit to the right of a decimal. Hundredths are two digits to the left. Thousandths are three digits to the left and ten thousandths are four digits to the left. Knowing this, this number tells us we have 6 tens and 5 units. We also have 2 hundredths. Therefore, the decimal number written in a fraction form would be 65 ^{2}⁄_{100}

^{4}⁄_{10}+ 4^{6}⁄_{10}+ 5^{7}⁄_{10}- 6^{8}⁄_{10}