Question

Simplify the following fractions.

Answer =

`(9)/(16 \\ \\ )`
Show me step by step ​

Answer 1

Solution -:

`(7)/(8) / 5 (1)/(3) * (24)/(7)`

Let's begin-

solve,,,

Now,,According to BODMAS rule fist we divide ,

`(7)/(8) * (3)/(16) * (24)/(7) \\`

Now , we multiple

`(3 * 3)/(16) \\ \\ = (9)/(16)`

and this is our final answers

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

Division → Multiplication → Addition → Subtraction

1. B stand bracket
2. O stand of
3. D stand division
4. M stand Multiplication
5. A stand for addition
6. S stand for subtraction

Answer 2

• Expressions with numerous operators must be simplified in "BODMAS" order only, from left to right. The brackets are solved first, followed by powers or roots,division, or multiplication (whatever comes first from the left side of the formula), and finally subtraction or addition. The BODMAS simplification of fractions is a solution for addressing fractions that include many operations such as addition (+), subtraction (-), multiplication (×),division(÷), and brackets ().

`\pink{\maltese{ \text{BODMAS \:Full \: Form \: }}}`

• To make numerical equations easier to understand, operations must be performed according to the BODMAS rule, which involves division, multiplication, addition, and subtraction to be performed in the order brackets.
• For example,

The expression (48-24)÷3×4 as per BODMAS rule.

(48-24)÷3×4

=24÷3×4

=8×4

=32

Now,

The given question is,

Simplify:

`\displaystyle{ (7)/(8) / 5 (1)/(3) * (24)/(7) }`

`\displaystyle{ = (7)/(8) / (16)/(3) * (24)/(7) }`

`\displaystyle{ = \frac{ \cancel{7} * 3 * \cancel{24} \: {}^(3) }{ \cancel{8 } * 16 * \cancel{7}} }`

`\displaystyle{ = (3 * 3)/(16) }`

`\displaystyle{} = (9)/(16)`

Thus,the final answer is 9/16.