(a) 45 % of 1600+(2)/(3) of 270 (b) 80 % of 1000+100 % of 100 (c) 140 % of 500+150 % of 160 (d)

step 1 In this question, we have to write each percentage as decimal. And in the first part, we are giv

(a) 45 % of 1600+(2)/(3) of 270 (b) 80 % of 1000+100 % of...

(a) $45 \%$ of $1600+\frac{2}{3}$ of 270
(b) $80 \%$ of $1000+100 \%$ of 100
(c) $140 \%$ of $500+150 \%$ of 160
(d) $60 \%$ of $1200+\frac{1}{4}$ of 720
(e) $6 \frac{1}{2}$ of $200-\frac{1}{3}$ of 1200

Key Concepts

Order of Operations

This principle dictates the sequence in which mathematical computations should be performed to ensure correct results. In these types of problems, it is important to perform multiplication (which includes percentage and fractional calculations) before carrying out addition or subtraction, ensuring the proper evaluation of the expression.

Percentage Calculation

This concept involves finding a part of a whole based on a percentage. It is achieved by converting the percentage to its decimal form and multiplying by the quantity. Understanding percentage calculation is crucial for solving problems where a portion of a number is needed, such as finding 45% of 1600 or 80% of 1000.

Fractional Multiplication

This involves using fractions to represent a part of a whole and multiplying them with a number to determine the specified portion. For example, operations like '2/3 of 270' or '1/4 of 720' require converting the fraction into a multiplication operation. Mastering fractional multiplication aids in handling diverse methods of representing parts of a number.

Basic Arithmetic Operations

These are the fundamental operations such as addition, subtraction, multiplication, and division. In problems where different computed values are added or subtracted, like adding the result of a percentage calculation to that of a fractional multiplication, it is essential to correctly perform these arithmetic operations to arrive at the accurate result.

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