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2 years ago

Can anybody explain how to subtract mixed fractions?

Mathematics

2 answers:

Ilya [14]2 years ago

7 0

Answer:

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 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>

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.

<h3>Solving an example:</h3>

Let's take an example.

⇒ $4 \frac{2}{5} - 3 \frac{3}{8}$

Step-1: Convert the fractions to improper fraction:

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

Step-2: Make the denominators same:

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

Step-3: Subtract:

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

Step-4: Convert the fraction to mixed fraction:

⇒ $\frac{41}{40}$
⇒ $\frac{40}{40} + \frac{1}{40}$
⇒ $1 + \frac{1}{40}$
⇒ $1\frac{1}{40}$

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