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
tensa zangetsu [6.8K]
2 years ago
10

Can anybody explain how to subtract mixed fractions?

Mathematics
2 answers:
Ilya [14]2 years ago
7 0

Answer:

  • <em>convert </em>the mixed fractions to improper fractions (where the numerator is greater than or equal to the denominator): multiply the whole number part by the fraction's denominator, add that to the numerator, write the result on top of the denominator.
  • if the denominators are not the same, work out the common denominator and <em>rewrite </em>the fractions with the same denominators
  • subtract by subtracting the numerators and writing the result over the denominator
  • convert back to mixed fractions by dividing the numerator by the denominator, write down the whole number answer, write down the remainder above the denominator.

Example

3\frac23-1\frac45

convert to improper fractions:

\dfrac{3 \times 3+2}{3}-\dfrac{1 \times 5+4}{5}=\dfrac{11}{3}-\dfrac{9}{5}

common denominator = 3 × 5 = 15, so:

\dfrac{11}{3}-\dfrac{9}{5}=\dfrac{11\times 5}{3\times 5}-\dfrac{9\times 3}{5\times 3}=\dfrac{55}{15}-\dfrac{27}{15}

subtract:

\dfrac{55}{15}-\dfrac{27}{15}=\dfrac{55-27}{15}=\dfrac{28}{15}

convert back to mixed fractions:

28 \div 15=1 \textsf{ remainder }13=1 \frac{13}{15}

antiseptic1488 [7]2 years ago
6 0
<h3>How do we subtract mixed fractions?</h3>

<u>To subtract mixed fractions, we must follow the steps:</u>

  1. <em>Convert the </em><em>mixed fraction</em><em> to </em><em>improper fraction.</em>

    2.<em> Multiply the </em><u><em>denominator</em></u><em> and the </em><u><em>numerator</em></u><em> by the </em><u><em>LCM</em></u><em> of the                          </em><u><em>denominators</em></u><em> to make the </em><u><em>denominators</em></u><em> same.                                                  </em><em>P.S:</em><em> (If the </em><u><em>denominators</em></u><em> are the same, you can skip this step).</em>

<em>     3. Simplify the fractions. (The </em><u><em>denominators</em></u><em> do not change).</em>

<em>     4. (Optional) Convert the fractions to </em><em>mixed fraction.</em>

<h3>Solving an example:</h3>

<em>Let's take an example. </em>

  • ⇒ 4 \frac{2}{5} - 3 \frac{3}{8}

<u>Step-1: Convert the fractions to </u><u>improper fraction:</u>

  • ⇒ 4 \frac{2}{5} - 3 \frac{3}{8}
  • ⇒ \frac{(4)(5) + 2}{5} -  \frac{(3)(8) + 3}{8}
  • ⇒ \frac{20 + 2}{5} -  \frac{24+ 3}{8}
  • ⇒ \frac{22}{5} -  \frac{27}{8}

<u>Step-2: Make the denominators same:</u>

  • ⇒ \frac{22}{5} -  \frac{27}{8}
  • ⇒ \frac{(22)(8)}{(5)(8)} -  \frac{(27)(5)}{(8)(5)}
  • ⇒ \frac{176}{40} -  \frac{135}{40}

<u>Step-3: Subtract:</u>

  • ⇒ \frac{176}{40} -  \frac{135}{40}
  • ⇒ \frac{41}{40}

<u>Step-4: Convert the fraction to </u><u>mixed fraction:</u>

  • ⇒ \frac{41}{40}
  • ⇒ \frac{40}{40} + \frac{1}{40}
  • ⇒ 1 + \frac{1}{40}
  • ⇒ 1\frac{1}{40}
You might be interested in
Please help as soon as possible
Leto [7]

Answer:

Step-by-step explanation:

c its the closes

8 0
3 years ago
Read 2 more answers
A train is moving at a uniform speed of 75 km/hour. How far will it travel in 20 minutes
AnnZ [28]

Answer:

15km in 20 minutes

Step-by-step explanation:

Distance covered by the train in 20 minute =75km60×20=25km. Hence, the train will cover 15km in 20 minutes.

6 0
2 years ago
There are 18 gallons of water in the tank. The tank is 3/4 full. How many gallons of water g can the tank hold
lianna [129]

Answer:

24 gallons

Step-by-step explanation:

18 divided by 3 is 6

6 x 4 = 24

so there are 24 gallons as a whole

4 0
3 years ago
Read 2 more answers
Janet’s mother gave her $76 to go to the store. Janet bought 2 loaves of bread and 4 cartons of orange juice. Each loaf of bread
Hatshy [7]

Answer:

22

Step-by-step explanation:

2x5 =10 4x3 = 12 12=10 =22

5 0
3 years ago
Read 2 more answers
I need help with these math questions.
DaniilM [7]
Number one is B, because if you do the equation 2.94(total price)/ 7(number of items) it gives you the answer $0.42 then for number two A=$1.8 B=$1.83 C=1.81 and D=1.82 leaving A with the best price per bottle of juice. Hope this helped!

3 0
3 years ago
Other questions:
  • (05.05 HC)The four points (−2, 5), (−2, −1), (5, −1), and (3, 5) are the vertices of a polygon. What is the area, in square unit
    13·2 answers
  • A rectangle and square have the same area.
    12·2 answers
  • Answer the following questions CORRECTLY I will know if this is wrong. I WILL REPORT ANY INCORRECT ANSWERS!
    11·2 answers
  • Regan earned a total of 15 by selling 5 cups of lemonade how many cups of lemonade does Reagan need to sell and altar on $42 ass
    10·1 answer
  • N equation is shown below:
    5·1 answer
  • Not sure if daughter is doing this right. Any help?
    9·1 answer
  • If there's a 9% tax, and the couch is $227.49 what will the total be?
    6·2 answers
  • Can someone help with this???
    10·2 answers
  • Do rational numbers have to be whole numbers?
    15·2 answers
  • I need help with the slope
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!