Mengubah Pecahan ke Desimal || Mengubah Desimal ke Pecahan biasa #desimal #pecahanbiasa

Welcome back to the house of Mathematics Lovers How are you all?

Hopefully you are always in good health. This time we will discuss how to

change ordinary fractions or mixed fractions into decimals

and vice versa. Change decimals into ordinary fractions. Please

pay attention carefully. But before that, don't forget to continue to

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at the house of Mathematics Lovers. Let's go straight to the discussion and examples. The problem is that

we start the first discussion, namely changing fractions into decimals.

We start from the first question. The first question is two

per 5. To change ordinary fractions into decimals, we can change them

by dividing them by 2/5. This means 2/5. Then we divide using a

stacked division or porogapit 2/5. 2 cannot be divided by 5 because 2

cannot be divided by 5. Then behind this du we add 0 so that it becomes 20.

Then above at also add 0 along with a comma. Now divide 20/5. We

look for the multiplication of 5 which results in 20 or the result is close to 20, namely 4 * 5.

Yes, that means above. Write it down. 4 then multiply 4 * 5 the result is 20 subtract

0 - 0 = 0 2 - 2 = 0 means it's finished so 2/5 the decimal is

0.4 the second question is 3/4 3/4 is the same as 3 / 4 we divide

using the division of 3 / 4 3 cannot be divided by 4 then behind 3

add 0 so it becomes 30 and above also add 0 along with a comma

now we divide 30 / 4 find the multiplication of 4 which results in 30

or close to 30 which is 7 yes 7 * 4 the result is the same as 28 we subtract

note here it cannot exceed 30 yes if here we put 8 8 * 4

32 is already more so it cannot be more than 30 we subtract 0 - 0 cannot be

subtracted 8 then borrow one number to 3 because the three are borrowed sat so that the

remainder is 2 then the sat that we borrow is inserted in front of 0 so that the

total becomes 10 now subtract 10 - 8 = 2 2 - 2 =

0 no need to write it because it is in front now we divide it again 2 4 2

cannot be divided by 4 because it cannot be divided by 4 then behind 2 add 0 for the

above there is no need to add a comma because there is already a comma now 20 / 4

we look for the multiplication of 4 which results in 20 or close to 20 which is 5 yes we

write it above 5 then we multiply 5 * 4 = 20 subtract 0 - 0 = 0 2

- 2 = 0 so the result is 3/4 the decimal form is

0.75 we go to the next example

11/4 for the third question this is a mixed fraction for mixed fractions

like this we must first change it into an ordinary fraction the way

to change it is multiply 4 * 1 = 4 then 4 + 1 which is above so it

becomes 5 5/4 here the bottom is 4 means

here it is still 4 5/4 or 5 / 4 we divide using the

division stack down we divide 5 / 4 5 / 4 can be 1 yes then multiply 1 * 4 =

4 subtract 5 - 4 = 1 divide again 1 / 4 1

cannot be divided by 4 because it cannot be divided then behind 1 add 0

so that one becomes 10 and above add a comma now we divide 10 / 4

multiplication of 4 which results close to 10 that is 2 multiply 2 * 4 = 8 subtract

Back 10 - 8 = 2 we divide 2 / 4 2 cannot be divided by 4 then behind 2

add 0 above no need to add a comma because there is already a comma

yes now 20 / 4 the result is the same as 5 multiply 5 * 4 = 20 subtract

0 - 0 = 0 2 - 2 = 0 then the decimal of 1 1/4 is

1.25 the next question is 2 1/2 well this is also a mixed fraction If here in

number 3 we change the mixed fraction into an ordinary fraction for

number 4 we use the quick method The quick thing is that we don't need to

change it into a regular fraction for the number two in front of this, we just let it be,

we just concentrate on the fraction 1/2 1/2 means 1/2 yes, we

divide only the fraction 1 Dib 2 1 cannot be divided by 2 so behind 1

add 0 so it becomes 10 then above add 0 along with the comma 10 / 2

multiplication of 2 which results in 10 which is 5 yes 5 * 2 = 10 subtract

0 - 0 = 0 1 - 1 = 0 so the result is

0.5 Now next we just add it to 2 yes

0.5 we add it to 2 which here is the unit of two this is the

unit so put the two of them under the unit the unit here is

0 If we have put it under the unit then we just

add the 5 just go down then 0 + 2 = 2 here there are commas

we just straighten them so that 2 1/2 the decimal is

2.5 go to the next discussion, namely we will enter to the second discussion,

namely changing decimals to ordinary fractions, the first question is 0.6

0.6 we change it into a fraction, the number 6, we just move it to the side

6 then pay attention How many numbers are behind the decimal point, pay attention here,

behind the decimal point there is one number If there is one number behind the decimal point, it means

per10, which means it becomes 6/10 6/10 we can still

simplify it The way to simplify it is

we look for a number that can divide both of them must be divided by the

same number, yes So if the numerator is divided by 2, the denominator is also divided by 2, the numerator is divided by

3, the denominator is also divided by 3, yes So here there is a number that can divide

both of them, namely we divide by two, yes, the numerator is divided by two, the denominator is

also we divide by 2, we divide 6 / 2 = 3 then 10

2 = 5 so that 0.6 in decimal form is

3/5 then we go to the second example, the second example is

0.24 0.24, we write down the number behind it, namely 24, we

write it down then pay attention How many numbers are behind the decimal point at the beginning of the

number s If behind the decimal point the number means per10 Well here behind the

decimal point there are two numbers because behind the decimal point there are two numbers that means per100

so it becomes 24/100

24/100 we can still simplify it, yes we divide it by the same number that

can divide both of them we try from the smallest number first,

namely we divide it together 2 24 / 2 = 12 100 / 2 = 50 Now the result

is 12/50 12/50 this can still be

simplified, yes we divide it together 2 12 / 2 = 6 then 50 / 2 = 25 now

the result is 6/25

6/25 this is finished here because there are no more numbers that

can divide both of them so there are no more numbers that can

divide both of them so 0.24 the fraction form is

6/25 for this second question the method is a bit long you can use the

direct method yes 24/100 you Just look for the number

that can divide both of them directly the big number is

both of us divide 4 24 / 4 = 6 then 100 / 4 = 25 Now pay attention to

the results are both 6/25 So you can divide by a

large number or use the method to find the GCF but if you can't

find the GCF you can do it step by step like the method

here earlier yes we go to the third question the third question is

1.4 for this third question we just use the fast way yes the fast way is this

one we just move the unit move then pay attention

here the four four Write it as the numerator then pay attention

behind the comma How many numbers are there behind the comma there is one number which

means per 10 means here it becomes per 10 so the result becomes

14/10 for this 4/10 this can still be simplified yes we divide by the

same number which is the number 2 we both divide by du for the unit this one just

move it now we divide 4 / 2 = 2 10 / 2 = 5 so the final result

becomes 12/5 the last example

3.7 for the three in front of the unit we just move it then

we make the seven into the numerator then pay attention here behind the decimal point one

number means per 10 so here it becomes

37/10 for 7/10 we don't need to simplify it anymore because there are no more

numbers that can divide both of them completely so

3.7 the fraction form is 37/10 that's our discussion this time,

namely how to convert ordinary fractions into decimal form and vice versa,

hopefully this video can be useful for all of you

Thank you see you again in the next videos at the Mathematics Lovers house