Answer :
Calculation Steps:
Fraction Calculator :
This is the best tool for reducing all the complexities of calculating fractions to very simple steps. It helps a user in making any fraction calculation that may be desired regarding addition, subtraction, multiplication, or division. Whether homework, preparation for an exam, or ordinary day-to-day calculations—this calculator ensures precise results that are set forth. It enhances comprehension and accuracy of fraction-based mathematics by simplifying fractions and then allowing simple operations to be undertaken.
How to Use a Fraction Calculator
Input Fractions:
- Enter the Numerator and Denominator: For both fractions input a numerator (the top number) and denominator (the bottom number).
- Choose the Operator: Select which mathematical function you would like to perform; addition, subtraction, multiplication or division.
Fraction Calculate:
The Fraction Calculator operations and methods are indicated below:
Add the following two fractions:
\(\frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd}\)
Subtract the second fraction from the first one:
\(\frac{a}{b} – \frac{c}{d} = \frac{ad – bc}{bd}\)
Multiply the following two fractions:
\(\frac{a}{b} \times \frac{c}{d} = \frac{ac}{bd}\)
Divide the first fraction by the second one.
\(\frac{a}{b} \div \frac{c}{d}\)
Fraction Calculator Examples :
Example 1: Addition of Fractions
\(\frac{1 \times 4 + 2 \times 3}{2 \times 4} = \frac{4 + 6}{8} = \frac{10}{8} = \frac{5}{4}\)
Result:
\(\frac{5}{4}\) or 1.25
Example 2 : Subtraction of Fractions
\(\frac{5}{6} – \frac{1}{3}\)
Calculation:
\(\frac{5 \times 3 – 6 \times 1}{6 \times 3} = \frac{15 – 6}{18} = \frac{9}{18} = \frac{1}{2}\)
Result :
\(\frac{1}{2}\) or 0.5
Example 3: Multiplication of Fractions
\(\frac{2}{3} \times \frac{3}{4}\)
Calculation:
\(\frac{2 \times 3}{3 \times 4} = \frac{6}{12} = \frac{1}{2}\)
Result :
\(\frac{1}{2}\) or 0.5
Example 4: Division of Fractions
\(\frac{7}{8} \div \frac{2}{5}\)
Computation:
\(\frac{7}{8} \times \frac{5}{2} = \frac{7 \times 5}{8 \times 2} = \frac{35}{16}\)
Solution:
\(\frac{35}{16}\)
or 2.1875
Here are some DOs to help use the Fraction Calculator effectively:
Correct Entry: Make sure numerators and denominators are entered appropriately to achieve the right computations.
Simplifying Fraction Calculation: It makes complicated fraction operations easy and quick to accomplish without necessarily having to calculate them.
Accurate: Reducing errors in fraction calculation to guarantee dependable answers. Pedagogical: It makes students understand the operations with fractions and therefore their arithmetic skills.