Mixed Fraction
A mixed fraction is a combination of a whole number & a proper fraction.
Or
A fraction which has quotient, remainder & divisor as 2¹/₅.
1. Example of Mixed Fraction
There are many examples of mixed fractions-
2³/₅, 5⁶/₇, 7⁸/₉, .......etc.
Where the red colour showed quotient, the blue colour showed the remainder & orange colour showed divisor.
2. How to convert a mixed fraction into an improper fraction?
1.) Convert mixed fraction 2³/₅ into an improper fraction.
Solve:-
= 2³/₅
{To get the numerator of the improper fraction, we multiply quotient 2 & divisor 5 then we add remainder 3 in the answer}
{To get the denominator of the improper fraction we write divisor 5 of given mixed fraction in the division of numerator}
As below-
= {(2×5)+3}÷5
= {10+3}÷5
= 13÷5
= or 13/5
We get an improper fraction 13/5.
2.) Convert mixed fraction 5⁶/₇ into an improper fraction.
Solve:-
= 5⁶/₇
{To get the numerator of the improper fraction, we multiply quotient 5 & divisor 7 then we add remainder 6 in the answer}
{To get the denominator of the improper fraction we write divisor 7 of given mixed fraction in the division of numerator}
As below-
= {(5×7)+6}÷7
= {35+6}÷7
= 41÷7
= or 41/7
We get an improper fraction 41/7.
3. How to do subtraction of Mixed Fractions?
1.) Subtract mixed fraction 1⁶/₇ from 2³/₇
Solve:-
{ To subtract mixed fractions we need to convert it into improper fractions. So first we convert given mixed fractions into improper fractions}
= 2³/₇ - 1⁶/₇
= (17/7) - (13/7)
{Now we will subtract this improper fraction to get an answer}
= (17 - 13) / 7
= 4/7
We get our answer 4/7.
2.) Subtract mixed fraction 11¹/₅ from 23³/₅
Solve:-
{ To subtract mixed fractions we need to convert it into improper fractions. So first we convert given mixed fractions into improper fractions}
= 23³/₅ - 11¹/₅
= (118/5) - (55/5)
{Now we will subtract this improper fraction to get an answer}
= (118 - 55) / 5
= 63/5
We get our answer 63/5.
We can do the addition of mixed fractions as above subtraction.
4. How to do Multiplication of Mixed Fractions?
1.) Multiply mixed fraction 5⁶/₇ & 7⁸/₉.
Solve:-
{Also in multiplication, we need to convert mixed fractions into improper fractions}
= 5⁶/₇ × 7⁸/₉
= (41/7) × (71/9)
{Now multiply both numerators to each other & both denominators to each other}
= (41×71) / (7×9)
= 2911 / 63
2.) Multiply mixed fraction 1²/₃ & 3³/₄.
Solve:-
{Also in multiplication, we need to convert mixed fractions into improper fractions}
= 1²/₃ × 3³/₄
= (5/3) × (15/4)
{Now multiply both numerators to each other & both denominators to each other}
= (5×15) / (3×4)
= 75 / 12
5. How to do Division of Mixed Fractions?
1.) Divide mixed fraction 4³/₄ from 3²/₃.
Solve:-
{First, we will convert mixed fractions into improper fractions}
= 4³/₄ ÷ 3²/₃
= (19/4) ÷ (11/3)
{Now we do reciprocal of (11/3) into (3/11) & change sign ÷ to ×)
= (19/4) × (3/11)
{Now we multiply both numerators to each other & multiply both denominators to each other & then divide both answers}
= (19×3) / (4×11)
= 57 / 44
We get our answer 57/44.
2.) Divide mixed fraction 3⁴/₅ from 1³/₅.
Solve:-
{First, we will convert mixed fractions into improper fractions}
= 3⁴/₅ ÷ 1³/₅
= (19/5) ÷ (8/5)
{Now we do reciprocal of (8/5) into (5/8) & change sign ÷ to ×)
= (19/5) × (5/8)
{Now we multiply both numerators to each other & multiply both denominators to each other & then divide both answers}
= (19×5) / (5×8)
= 95 / 40
We get our answer 95/40.
