Mathematics : asked on 911wgarcia

05.09.2020

Can anybody explain how to subtract mixed fractions?

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09.07.2023, solved by verified expert

Chemistry, Q&A Expert, I am a Assistant Professor in Maharaj Singh College Saharanpur, Uttar Pradesh, India

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convert 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 rewrite the fractions with the same denominatorssubtract by subtracting the numerators and writing the result over the denominatorconvert 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

$Can anybody explain how to subtract mixed fractions?, №18010442, 05.09.2020 07:50$

convert to improper fractions:

$Can anybody explain how to subtract mixed fractions?, №18010442, 05.09.2020 07:50$

common denominator = 3 × 5 = 15, so:

$Can anybody explain how to subtract mixed fractions?, №18010442, 05.09.2020 07:50$

subtract:

$Can anybody explain how to subtract mixed fractions?, №18010442, 05.09.2020 07:50$

convert back to mixed fractions:

$Can anybody explain how to subtract mixed fractions?, №18010442, 05.09.2020 07:50$

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Chemistry, Q&A Expert, I am a Assistant Professor in Maharaj Singh College Saharanpur, Uttar Pradesh, India

30 767 answers

Unlock the full answer

How do we subtract mixed fractions?

To subtract mixed fractions, we must follow the steps:

Convert the mixed fraction to improper fraction.

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

3. Simplify the fractions. (The denominators do not change).

4. (Optional) Convert the fractions to mixed fraction.

Solving an example:

Let's take an example.

⇒ $Can anybody explain how to subtract mixed fractions?, №18010442, 05.09.2020 07:50$

Step-1: Convert the fractions to improper fraction:

⇒ $Can anybody explain how to subtract mixed fractions?, №18010442, 05.09.2020 07:50$ ⇒ $Can anybody explain how to subtract mixed fractions?, №18010442, 05.09.2020 07:50$ ⇒ $Can anybody explain how to subtract mixed fractions?, №18010442, 05.09.2020 07:50$ ⇒ $Can anybody explain how to subtract mixed fractions?, №18010442, 05.09.2020 07:50$

Step-2: Make the denominators same:

⇒ $Can anybody explain how to subtract mixed fractions?, №18010442, 05.09.2020 07:50$ ⇒ $Can anybody explain how to subtract mixed fractions?, №18010442, 05.09.2020 07:50$ ⇒ $Can anybody explain how to subtract mixed fractions?, №18010442, 05.09.2020 07:50$

Step-3: Subtract:

⇒ $Can anybody explain how to subtract mixed fractions?, №18010442, 05.09.2020 07:50$ ⇒ $Can anybody explain how to subtract mixed fractions?, №18010442, 05.09.2020 07:50$

Step-4: Convert the fraction to mixed fraction:

⇒ $Can anybody explain how to subtract mixed fractions?, №18010442, 05.09.2020 07:50$ ⇒ $Can anybody explain how to subtract mixed fractions?, №18010442, 05.09.2020 07:50$ ⇒ $Can anybody explain how to subtract mixed fractions?, №18010442, 05.09.2020 07:50$ ⇒ $Can anybody explain how to subtract mixed fractions?, №18010442, 05.09.2020 07:50$

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Faq

Mathematics

Can anybody explain how to subtract mixed fractions?

Step-by-step answer

P Answered by Specialist

convert 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 rewrite the fractions with the same denominatorssubtract by subtracting the numerators and writing the result over the denominatorconvert 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:

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

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Imran is paid ?286 per week Every week he puts 20% of his wage into a savings account How much does he put into his savings each week

Step-by-step answer

P Answered by PhD

The answer is in the image

The answer is in the image

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The last time Robert filled up his car with gas, he paid $24.50 for 7 gallons. This time, he needs 15 gallons. If the price is the same, how much will he pay?

Step-by-step answer

P Answered by PhD

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

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Step-by-step answer

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The solution is in the following image

The solution is in the following image

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Step-by-step answer

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The answer is in the image

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Step-by-step answer

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Mathematics, 26.03.2020 20:52, mohammadhosseinkarim David is building wooden picture frames. Each frame requires 3/4 feet of wood. If David started with 12 feet of wood and now has 6 feet of wood remaining, how many pictures frames has he built?

Step-by-step answer

P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

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Step-by-step answer

P Answered by PhD

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Step-by-step answer

P Answered by PhD

Let the father's age be x and son's be y

10 years before-

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sons age=y-10

Given,

x-10=10(y-10)

x-10=10y-100

Given present age of father=40

therefore,

x=40

40-10=10y-100

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10y=130

y=130/10

y=13

Therefore present age of son=13years

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Step-by-step answer

P Answered by PhD

Given height of gymnasium is 5/6 height of 30 foot ball

therefore height of gymnasium=5/6 * 30

=25 feet

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