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
Would someone help me understand this type of math
Svetlanka [38]
I never understand that
6 0
3 years ago
Una máquina demora 2 minutos y 30 segundos en fabricar una silla. Si en un día la máquina funciona sin parar 8 horas ¿Cuántas si
vaieri [72.5K]
Una máquina demora 2 minutos y 30 segundos en fabricar una silla. Si en un día la máquina funciona sin parar 8 horas ¿Cuántas sillas fabricará?

5 x 12
24 x 8
192
5 0
3 years ago
3) Consider the sequence -11 ; 2sin3x ; 15; ...
DiKsa [7]

9514 1404 393

Answer:

  x = 30

Step-by-step explanation:

In an arithmetic sequence, any given term is the average of the two terms that come before and after. The middle term of this sequence must be ...

  2sin(3x) = (-11 +15)/2

  sin(3x) = 1 . . . . . . . . . . simplify and divide by 2

Then the value of 3x must be 90°, so ...

  x = 90/3 = 30

There is one value of x in the interval [0, 90] that makes this sequence arithmetic: x = 30.

8 0
3 years ago
Which answer choice represents an equivalent number sentence of "15 + (3 - 8)"?
frozen [14]

Answer:

A- 15-5 is the same

Step-by-step explanation:

15 + (3-8)

15 + (-5)

15-5

8 0
3 years ago
Read 2 more answers
What is the y-intercept?<br> (20,0)<br> 0 (0, 18)<br> (18,0)<br> O (0,20)
Y_Kistochka [10]
The answer is (0,18)
4 0
3 years ago
Other questions:
  • Juan wants to change the shape of his vegetable garden from a square to a rectangle, but keep the same area so he can grow the s
    15·2 answers
  • 4 yd. 8 in. + 6 yd. 6 in ?????????????
    12·2 answers
  • Tori had $20 to buy a birthday present for her dad. She decided to buy a DVD for $18. The sales tax is 7%. Does she have enough
    7·1 answer
  • 50% of what gives u 21
    15·1 answer
  • carlos is two-thirds his grandfather's height. if his grandfather is 6 feet 3 inches tall, how tall is carlos
    6·1 answer
  • Whoever gets it right gets brainlisest
    13·2 answers
  • The cost of a Black Forest cake at two bakeries is as follows: Julie's Bakery: cost $15, delivery charge $0.20 per mile; Bakers
    11·1 answer
  • Can someone help me with this math hw ​
    7·1 answer
  • Please help me will give brainliest
    5·1 answer
  • Help me plz…………..::…………
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!