Question

2 upon 5 multiply (minus 3 upon 7) minus 1 upon 6 multiply 3 upon 2 plus 1 upon 14 multiply 2 upon 5

Answer 1

Answer:

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Answer 2

Answer:

The final answer is $\frac{-11}{28}$

Step-by-step explanation:

Given:

2 upon 5 multiply (minus 3 upon 7) minus 1 upon 6 multiply 3 upon 2 plus 1 upon 14 multiply 2 upon 5 = ?

We know that, upon is used to indicate fractions.

Find:

$\frac{2}{5} \times \frac{-3}{7} - \frac{1}{6} \times \frac{3}{2} + \frac{1}{14} \times \frac{2}{5} = \ ?$

Solution:

$(\frac{2}{5} \times \frac{-3}{7}) - (\frac{1}{6} \times \frac{3}{2} )+ (\frac{1}{14} \times \frac{2}{5})$

$= \frac{-6}{35} - \frac{3}{12} + \frac{2}{70}$

$= \frac{-6 \times 2}{35 \times 2} + \frac{2}{70} -\frac{3}{12}$         (Making the denominator equal)

$= \frac{-12}{70} + \frac{2}{70} -\frac{3}{12}$

$= \frac{-10}{70} -\frac{3}{12}$

$= \frac{(-10 \times 12)-(3 \times 70)}{(70 \times 12)}$         (Cross multiplying)

$= \frac{-120-210}{840}$

$= \frac{-330}{840}$

$= \frac{-33}{84}$

$= \frac{-11}{28}$

This problem deals with the BODMAS rule in Mathematics. This is used to provide precedence of operators.

BODMAS rule:

• BODMAS rule determines the order of operators in which they are executed.

• It stands for Brackets, Order, Division, Multiplication, Addition, and Subtraction.

• The expression within brackets precedes other operators.

• Then comes the order operators like power (exponent), roots, etc.

• Division and Multiplication have equal precedence. They are evaluated from left to right if both occur in an expression.

• Similarly, addition and subtraction have equal precedence which is also evaluated from left to right.

Learn more about the BODMAS rule:

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