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Practice changing decimals to fractions in this quiz!

Decimals to Fractions

This Math quiz is called 'Decimals to Fractions' and it has been written by teachers to help you if you are studying the subject at middle school. Playing educational quizzes is a fabulous way to learn if you are in the 6th, 7th or 8th grade - aged 11 to 14.

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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: 76 910

1.
Find the correct fraction that will match up to the decimal.

65.02
65 210
65 21
65 2100
65 02
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 2100
2.
Find the correct fraction that will match up to the decimal.

69.03 - 22.005
69 3100 + 22 51000
69 310 - 22 5100
69 3100 - 22 51000
69 301 + 22 5001
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 3100 - 22 51000
3.
Find the correct fraction that will match up to the decimal.

10.9 + 88.001
10 910 + 88 1100
10 910 + 88 11000
10 91 + 88 001001
98 + 10 9011000
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 10 910 + 88 11000
4.
Find the correct fraction that will match up to the decimal.

1498.9
1498 910
1498 91
1498 19
1498 9100
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 910
5.
Find the correct fraction that will match up to the decimal.

12.008 + 54.07 + 30.001
12 8100 + 54 710 + 30 1100
12 81000 + 54 7100 + 30 11000
12 8001 + 54 701 + 30 1001
12 81 + 54 71 + 30 11
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 81000 + 54 7100 + 30 11000
6.
Find the correct fraction that will match up to the decimal.

3.4 + 4.6 + 5.7 - 6.8
3 401 + 4 601 + 5 701 - 6 801
3 41 + 4 61 + 5 71 - 6 81
3 410 + 4 610 + 5 710 + 6 810
3 410 + 4 610 + 5 710 - 6 810
This number tells us we have 3unit and 4 tenths. We also have 4 units and 6 tenths. Next we have 5 units and 7 tenths. Finally we have 6 units and 8 tenths. Note that we are adding and subtracting the numbers. Put into fraction format we get 3 410 + 4 610 + 5 710 - 6 810
7.
Find the correct fraction that will match up to the decimal.

6749.06 + 7321.1 + 100.002
6749 6100 + 7321 110 + 100 21000
6749 610 + 7321 11 + 100 2100
6749 610 + 7321 11 - 100 2100
6749 601 + 7321 11 + 100 2001
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 6100 + 7321 110 + 100 21000
8.
Find the correct fraction that will match up to the decimal.

71.9 - 55.008 + 13.04 - 26.1
71 910 - 55 81000 + 13 4100 + 26 110
71 910 - 55 81000 + 13 4100 - 26 110
71 91 - 55 8100 + 13 4100 - 26 11
71 910 + 55 8100 - 13 4100 - 26 11
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 71 910 - 55 81000 + 13 4100 - 26 110
9.
Find the correct fraction that will match up to the decimal.

47.08 + 11.7 - 32.09
47 8100 + 11 710 - 32 9100
47 8001 + 11 701 - 32 9001
47 8100 + 11 710 + 32 9100
47 810 + 11 71 - 32 910
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 8100 + 11 710 - 32 9001
10.
Find the correct fraction that will match up to the decimal.

61.3 + 26.07
61 301 + 26 7001
61 13 + 61 107
87 + 37100
61 310 + 26 7100
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 61 310 + 26 7100
Author:  Christine G. Broome