1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
german
3 years ago
14

I’m in 7th grade and forgot how to add and subtract whole numbers and fractions, can someone explain it to me? Example: 13 2/3 -

4 1/3 = __
Mathematics
1 answer:
Len [333]3 years ago
3 0

(This is how I explain it)

If they have the same denominator, don't change it

but if they have different denominators, change it

So you first subtract the fractions:

2/3 - 1/3: it equals 1/3 because of the numerators: 2-1=1 (but also put the denominator)

Then just multiply the whole numbers: 13 - 4 = 9

Ok now just put them together: 9 1/3

But if the subtraction looks like this:

8 1/3 - 3 2/3

then for the 1/3 just add another whole to it. (since you cannot subtract 1/3 - 2/3 and get a number over 0)

Like:

Since the denominator is 3, then add 3 to the 1/3 numerator: 1 + 3 = 4

So there's 4/3. even though this is an improper fraction, you can still subtract it.

Look:

4/3 - 2/3 = 2/3

But since the 8 got 1 whole took away, it becomes 7.

So then you subtract 7 - 3 which is 4

So the answer for this one is 4 2/3

Adding is easier

Now if you add 4 1/5 + 6 2/5, you just add the fractions and whole number.

1/5 + 2/5 = 3/5

Now add the whole numbers: 4 + 6 =  10.

Put it together: 10 3/5 is the answer

If you add like 15 1/4 + 5 3/4 then just add the fractions and whole number:

1/4 + 3/4 = 4/4: but since it's 4/4, then we convert it into a whole number: 1.

So it's basically 15 + 5 = 20, then add that whole number: 1

Answer: 21

Now for this one:

5 4/9 + 1 2/3

Since they have different denominators, you have to get the same denominator for each one. If you get a different denominator, it means you have to change the numerator too.

Like this:

2/3, you can multiply the numerator and demoniator by 3 to get the denominator 9. (which matches 4/9!)

2 x 3 = 6

3 x 3 = 9

Since we have 6 and 9, our new fraction is 6/9

We don't have to do anything to the other fraction since it already has 9 as a denominator.

Now add:

6/9 + 4/9 = 10/9

Inproper fractions:

10/9, subtract 9 from the numerator: (since 9 is the denominator)

10- 9 = 1

turn the extra into a fraction and the 9/9 into 1.

since we have 1 leftover, the fractions combined are 1 1/9

We can basically just add

5 + 1 + 1 1/9 = 7 1/9

here is the last short one:

6/10 + 2/3

Since 3 cannot be multiplied by a whole number to 10, we have to change both.

We can multiply both denominators together:

6/10:

6 x 3 = 18

10 x 3 = 30

2/3:

2 x 10 = 20

3 x 10 = 30

So our new equation is:

18/30 + 20/30 = 38/30

But, since it's an improper fraction, we should convert it into a mixed number:

38-30=8

Ok since we could subtract it, we have: 1

But we have 8 extra

so the answer is 1 8/30

We can simplify it though.

2 is the highest number we can go for both numerator and denominator

8 divided by 2: 4

30 divided by 3: 15

So the correct answer is: 1 4/15

i hope this helped, sorry i'm not that good at explaining

You might be interested in
How is repeating decimals used in the real world? Plz help I don't know it
guapka [62]
Just say in the store hahaha bfebfefbevfwvtvt2vt2vt3v3t3bt3btt3tbt2b
5 0
3 years ago
(3+3x6+(3 with the power of 2)-3
Effectus [21]
You do pemdas and the answer should be 27
6 0
3 years ago
Find the area of this sector
slavikrds [6]

Answer:

1492.885

Step-by-step explanation:

the whole circle has 360°  and an area of pi*r² =pi*24²=pi* 576

for 360°  and A=pi*576

for 360-63= 297°  and A= (297*576*pi) / 360 = 1,492.885 m²

6 0
3 years ago
What is the value of this expression 1/3-5
gregori [183]
The answer is 243 for the question above
5 0
3 years ago
Read 2 more answers
Cassie is a half pound of sugar in her cabinet her cake recipe calls for two tenths of a pound of sugar how many cakes can she m
mamaluj [8]
The information's given in the question should be very minutely checked. Based on those given information's the answer to the question can easily be deduced.
Amount of sugar in the cabinet of Cassie = 1/2 pound
Amount of sugar required by Cassie to make her cake recipe = 2/10 pound
                                                                                                   = 1/5 pounds
Then
The number of cakes that Cassie can make = (1/2)/(1/5)
                                                                        = 5/2
                                                                        = 2 1/2
So from the above deduction we can easily conclude that Cassie can make a total of 2 cakes with the sugar she has and there will still be some sugar left.
7 0
3 years ago
Other questions:
  • The dot plot shows how many games 10 members played last month.
    15·1 answer
  • Please help!
    10·1 answer
  • Amanda has $5200 in a savings account that earns 4% annually. If the interest is not compounded, what is the value of her accoun
    7·2 answers
  • 183.3 ÷ 0.78=????????????<br> Who ever answers 1st gets brainleist!!!
    10·1 answer
  • Please help me!!!!<br> Thank you!!!
    14·1 answer
  • A garden snail moves 1/6 foot in 1/3 hour. Find the speed of the snail in feet per hour
    6·1 answer
  • The spokes of a bicycle wheel form 10 congruent central angles. The diameter of the circle formed by the outer edge of the wheel
    7·1 answer
  • X 8.2.79
    14·1 answer
  • Jenny makes food for her hummingbird feeders
    11·1 answer
  • N − 2/3 = 25 3/4 help now
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!