Converting Fractions And Mixed Numbers To Decimals

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Transcript

00:00Hi kids! Today we will learn how we can convert fractions to decimals. We will also learn

00:09how to convert mixed numbers to decimals. So let's start. We know the fraction are

00:17numbers where there are two numbers separated by a line. And the number above the line is

00:25called numerator. And the number below the line is called denominator. We also know decimals

00:34are numbers with one or more digits to the right of decimal point. What is the relationship

00:41between fractions and decimal numbers? 1 by 10 equals 1 tenth equals point 1. As when

00:54it's tenths you have to place decimal after one digit from left. 2 by 10 equals 2 tenths

01:03equals point 2. As we place decimal after one digit from left. 2 by hundredths equals

01:142 hundredths equals point 0 2. As you have to place decimal after two digits from right

01:24when it's hundredths. And zeros hold the rightmost places if there are digits less

01:31than 2. 2 by thousandths equals 2 thousandths equals point 0 0 2. As when it's thousands

01:43you have to place decimal after three digits from right. And zeros hold the rightmost places

01:50if there are less digits than 3. Here we have a fraction. We have to write it in the form

01:59of a fraction. It is 23 thousandths. So we have to place decimal after three digits from

02:08left. But there are only two digits that is we don't have third digit. So place a zero to the

02:17right of number. And now we can place decimal after three digits from left. Point 0 2 3. So

02:28our decimal number for 23 five thousandths is point 0 2 3. Mixed numbers. Now let's learn what

02:41are mixed numbers. This is an example of a mixed number. But we have a whole number part which is

02:502. And a fraction part which is 1 by 10 here. It says that there are two whole things and a

03:00fraction that is part of a whole. We say this in decimal as 2 and 1 tenths. 1 tenths is written

03:11as point 1. So it became 2.1. Now let's take one more example. It is 3 and 2 hundredths. Now let's

03:25write it in decimals. 2 hundredths is written as point 0 2. So we will write it as 3 point 0 2.

03:35Let's take another example. It is 5 and 16 thousandths. Let's write it in decimals. 16

03:46thousandths is written as point 0 1 6. So we will write this fraction in decimal as 5 point 0 1 6.

03:58Let's take another example. It is 8 and 12 thousandths. 12 thousandths is written as point

04:090 1 2. So this fraction will be written in decimal as 8 point 0 1 2. So kids, today we learned how

04:22we can convert fractions to decimals. And if it's tenths, we place decimal after one digit from left.

04:30If it's hundredths, we place decimal at two digits from left. And if it's thousandths, we place

04:38decimal after three digits from left. And zeros hold the places where there are no digits. Now

04:47you may go ahead and take a quiz to learn more. Bye-bye.