- Enter the values of the two Fraction whose addition,subtraction,division or multiplication need to be calculated

- Click on the calculate button.

$\frac {1}{2}$

$\frac {2}{3}$

Upper Number is called the

There are three types of Fraction

Find the addition of the fractions $\frac {1}{5}$ and $\frac {1}{6}$ ?

Addition of fraction works using the formula

$\frac {a}{b} + \frac {c}{d}= \frac {ad + bc}{bd}$

Therefore

$\frac {1}{5} + \frac {1}{6} = \frac {1 \times 6 + 1 \times 5}{5 \times 6} = \frac {11}{30}$

There is no common factor between numerator and denominator. So this is the answer.

(a)We can find the L.C.M of the denominators and then convert them into like fractions.

L.C.M of denominators 5 and 6 is 30.So converting into like fractions

$\frac {1}{5}= \frac {6}{30}$

$\frac {1}{6}= \frac {5}{30}$

(b) Now like fractions can be added by just adding the Numerators.

$\frac {1}{5} + \frac {1}{6}= \frac {6}{30} + \frac {5}{30} = \frac {11}{30}$

(c) Now we can check we have any common factor between Numerator and denominator.

There is no common factor between numerator and denominator. So this is the answer.

Find the addition of the fractions $\frac {1}{2}$ and $\frac {5}{6}$?

Addition of fraction works using the formula

$\frac {a}{b} + \frac {c}{d}= \frac {ad + bc}{bd}$

Therefore

$\frac {1}{2} + \frac {5}{6} = \frac {1 \times 6 + 5 \times 2}{2 \times 6} = \frac {16}{12}$

4 is common factor between numerator and denominator. So dividing both the numerator and denominator by 4

$\frac {1}{2} + \frac {5}{6} = \frac {1 \times 6 + 5 \times 2}{2 \times 6} = \frac {16}{12} = \frac {4}{3}$

Subtract fraction $\frac {1}{4}$ from $\frac {1}{2}$

Subtraction of fraction works using the formula

$\frac {a}{b} - \frac {c}{d}= \frac {ad - bc}{bd}$

Therefore

$\frac {1}{2} - \frac {1}{4} = \frac {1 \times 4 - 1 \times 2}{2 \times 4} = \frac {2}{8}$

2 is common factor between numerator and denominator. So dividing both the numerator and denominator by 2

$\frac {1}{2} - \frac {1}{4} = \frac {1 \times 4 - 1 \times 2}{2 \times 4} = \frac {1}{4}$

(a)We can find the L.C.M of the denominators and then convert them into like fractions.

L.C.M of denominators 5 and 6 is 30.So converting into like fractions

$\frac {1}{2}= \frac {3}{6}$

$\frac {5}{6}= \frac {5}{6}$

(b) Now like fractions can be added by just adding the Numerators.

$\frac {1}{5} + \frac {1}{6}= \frac {3}{6} + \frac {5}{6} = \frac {8}{6}$

(c) Now we can check we have any common factor between Numerator and denominator.

2 is common factor between numerator and denominator. So,

$\frac {1}{5} + \frac {1}{6}= \frac {3}{6} + \frac {5}{6} = \frac {8}{6}= \frac {4}{3}$

Multiply the fractions $\frac {6}{5}$ and $\frac {7}{8}$ ?

Multiplication of Fractions is given by

$\frac {a}{b} \times \frac {c}{d}= \frac {ac}{bd}$

Therefore

$\frac {6}{5} \times \frac {7}{8} = \frac {6 \times 7}{5 \times 8} = \frac {42}{40}$

Now 2 is the common factor between numerator and denominator. So,

$\frac {6}{5} \times \frac {7}{8} = \frac {6 \times 7}{5 \times 8} = \frac {42}{40}= \frac {21}{20}$

Find the value of $\frac {3}{2} \div \frac {4}{5}$ ?

$\frac {a}{b} \div \frac {c}{d}= \frac {a}{b} \times \frac {d}{c}= \frac {ad}{bc}$

$\frac {3}{2} \div \frac {4}{5}= \frac {3}{2} \times \frac {5}{4}=\frac {15}{8}$

There is no common factor between numerator and denominator. So this is the answer.

Find the value of $\frac {1}{2} \div \frac {11}{12}$ ?

$\frac {a}{b} \div \frac {c}{d}= \frac {a}{b} \times \frac {d}{c}= \frac {ad}{bc}$

$\frac {1}{2} \div \frac {11}{12}= \frac {1}{2} \times \frac {12}{11}=\frac {12}{22}$

2 is common factor between numerator and denominator. So ,

$\frac {1}{2} \div \frac {11}{12}= \frac {1}{2} \times \frac {12}{11}=\frac {12}{22}$

= \frac {6}{11}$

$\frac {a}{b} + \frac {c}{d}= \frac {ad + bc}{bd}$

Now we find the HCF between denominator and Numerator and divide both of them by it and present the Answer

$\frac {a}{b} - \frac {c}{d}= \frac {ad - bc}{bd}$

Now we find the HCF between denominator and Numerator and divide both of them by it and present the Answer

$\frac {a}{b} \times \frac {c}{d}= \frac {ac}{bd}$

Now we find the HCF between denominator and Numerator and divide both of them by it and present the Answer

$\frac {a}{b} \div \frac {c}{d}= \frac {a}{b} \times \frac {d}{c}= \frac {ad}{bc}$

Now we find the HCF between denominator and Numerator and divide both of them by it and present the Answer

- Reducing fractions or Simplifying Fraction calculator
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