Converting Fractions of Denominators of 10 and 100 into 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)

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)

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.

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

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.7.NS.A.2D

CCSS.8.NS.A.1

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.

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.**

(a)  

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.

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.**

(a)  

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.**

(a)  

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.

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.**

(a)  

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