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Lesson 2: Divide whole numbers to get a decimal quotient

# Divide whole numbers with decimal quotients: 5÷2

This video teaches how to divide whole numbers to get a decimal quotient. It explains two methods to achieve this, emphasizing that division can result in decimals, not just whole numbers or remainders. Created by Sal Khan.

## Want to join the conversation?

• Why does it make sense to equate 5/2 as 50 tenths / 2 = 25 tenths = 2.5

But, 12 / .5 = 120 tenths / 5 tenths = 24 and not 24 tenths, which would be 2.4.

How do you decide which equations to drop the extra tenths.

Following the rule of converting to tenths, wouldn't it make sense to say:

50 tenths / 20 tenths =
• In the first equation, tenths appear only on top, so the tenths remain.

However, in the second equation, tenths appear on both top and bottom, so the tenths cancel out!
(1 vote)
• So 5 ÷ 2 = 5/2 ( ) , which as a improper fraction is 2 1/2 ( ). 2 1/2 as a decimal is 2.5 ( ), so 5 ÷ 2 is equal to 2.5, right? Please tell me if I made any mistakes, I'd like to know.

Thx!
• You did not make any mistakes in your calculations, but remember that improper fractions are fractions with a numerator greater than the denominator; 5/2 is already an improper fraction.
Values with both a whole number and a proper fraction combined are mixed numbers, so the 2 (and) 1/2 is a mixed number.
• Tbh the video doesn’t really help me with the questions I’m getting, I can easily do five divided by two, but questions I’m getting are seven divided by twenty, which this video doesn’t help answer.
• 7/20 is easy you multiply both numbers by 5 you get 70/100 then put it into a decimal 70/100 = .70
• Can u please make a video about this by using different numbers to divide? In the exercise it says 3 ÷ 4 = ? which is confusing because it doesn't say how to do those kinds of questions. Thank you!:)
• To do 3 divided by 4, we can divide 4 into 3, using long division.

4 goes into 3, zero times. Write 0 on top and a decimal point after the 0 (to line up with the decimal point after the 4).
4 goes into 30, seven times with 2 left over. Write the digit 7 on top, just after the decimal point.
4 goes into 20, five times exactly. Write the digit 5 on top, just after the 7.
So the answer (quotient) is 0.75.
(1 vote)
• How am i supposed to do this!
• If you divide 5/2, think about 1/2 of a pizza. If you have 5 of the 1/2 pizzas, you can put two sets of two 1/2 pizzas to make 2 full pizzas, and you still have 1/2 a pizza left, so you have a total of 2 1/2 pizzas. 5/3 would be 1 full pizza and 2/3 left, so 1 2/3.
• So 5 ÷ 2 = 5/2 ( ) , which as a improper fraction is 2 1/2 ( ). 2 1/2 as a decimal is 2.5 ( ), so 5 ÷ 2 is equal to 2.5, right? Please tell me if I made any mistakes, I'd like to know.
• Why does it make sense to equate 5/2 as 50 tenths / 2 = 25 tenths = 2.5

But, 12 / .5 = 120 tenths / 5 tenths = 24 and not 24 tenths, which would be 2.4.

How do you decide which equations to drop the extra tenths.

Following the rule of converting to tenths, wouldn't it make sense to say:

50 tenths / 20 tenths =
1) If you have a \$1 bill, you have a whole number amount.
2) You need change, so you convert your \$1 bill into 4 quarters. Each quarter = 1/4 of \$1. So, now you have 4 units of 1/4.
3) The value of one quarter is \$0.25 (a decimal). So, you can also say that you have 4 units of \$0.25.

If you do anything with money, you are likely doing these conversions, but maybe without knowing it.
Hope this example helps.
• How does this make sense like how do you turn a whole number into a fraction then into a decimal! Whats next how to turn 1+1 into a book?
• Actually, turing 1+1 into a book would be easy. But, getting to the point, we can turn a whole number into a fraction by taking something away from it, and then put the number on the bottom on the right side of the decimal, and then putting the top number on the left. For example,
9
9-73/9=1/9
1/9=1.9

I hope this helped! Thx!