Convert Fractions and Decimals

Answer explanation

2 is your whole number so it goes in front of the decimal.

3/5 has a denominator of 5 which can become a 10 by multiplying by 2 - do that to both sides! = 6/10. This means that 6 goes in the tenths place value (behind the decimal)

Tags

CCSS.5.NBT.A.3

CCSS.5.NF.B.3

Answer explanation

There is no whole number so we will put a 0 in its place.

5/8 can become 625/1000 by multiplying the numerator and denominator by 125. Therefore, put 625 behind the decimal (ending in the thousandths place value)

Tags

CCSS.5.NBT.A.3

CCSS.5.NF.B.3

Answer explanation

Remember to convert your denominator to a power of 10 - such as 10, 100, 1000, etc.

multiply the numerator and denominator by 2 to get 6/10.

we write that as 0.6 because 6 must be in the tenths place value.

Tags

CCSS.5.NF.B.3

Answer explanation

Get the denominator to 1000 by multiplying by 5 so do that to the numerator too. You get 35 over 1000 which means the 5 must be in the thousandths place value. **you need the place holder zero in the tenths place value**

0.035

Tags

CCSS.5.NBT.A.3

CCSS.5.NF.B.3

Answer explanation

The whole number is 4 and it goes in front of the decimal.

Then 27 over 125 ... get 125 to become 1000 by multiplying by 8.

So multiply the 27 by 8 as well to get 216.

Therefore 216 over 1000 means the 6 should end in the thousandths place value.

Tags

CCSS.5.NBT.A.3

CCSS.5.NF.B.3

Answer explanation

The whole number is 3 so put it in front of the decimal.

2 over 25 is next and we know we can make a 25 into a 100 by multiplying by 4 so do that to the 2 as well.

We get 8 over 100 which means 8 must be in the hundredths place value so we need a place-holder-zero in the tenths place.

Tags

CCSS.5.NBT.A.3

CCSS.5.NF.B.3

Convert this decimal to a fraction: 2.2

**When typing your answer, first put your whole number (if you have one), then press SPACE (one time only), and finally put your fraction (without spaces) by typing the numerator a slash "/" (found by the right shift button) and then typing the denominator.**

Answer explanation

2 is your whole number

2 (behind the decimal) is your fraction. It's in the tenths place so that's 2 over 10 (2/10) which simplifies to 1/5.

Tags

CCSS.5.NF.B.3

Convert this decimal to a fraction: 0.6

**When typing your answer, first put your whole number (if you have one), then press SPACE (one time only), and finally put your fraction (without spaces) by typing the numerator a slash "/" (found by the right shift button) and then typing the denominator.**

Answer explanation

6 is in the tenths place so that's 6 over 10 = 6/10

which simplifies to 3/5

Convert this decimal to a fraction: 0.08

**When typing your answer, first put your whole number (if you have one), then press SPACE (one time only), and finally put your fraction (without spaces) by typing the numerator a slash "/" (found by the right shift button) and then typing the denominator.**

Answer explanation

8 is in the hundredths place value so that's written as 8/100

this simplifies to 4/50 when you divide by 2 but then you can simplify again to get 2/25.

8/100 simplifies to 225 when you divide by 4.

Tags

CCSS.4.NF.C.5

CCSS.4.NF.C.6

Convert this decimal to a fraction: 0.27

**When typing your answer, first put your whole number (if you have one), then press SPACE (one time only), and finally put your fraction (without spaces) by typing the numerator a slash "/" (found by the right shift button) and then typing the denominator.**

Answer explanation

27 is your numerator

the 7 ends the number and is found in the hundredths place value so we put it over 100

27/100

Tags

CCSS.5.NF.B.3