TSIA 2.0 Arithmetic Reasoning

To multiply fractions, multiply the numerators together and the denominators together. For example, $$\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}$$ .

Let Saturday's points be x. The equation is: 42 = 3x + 12. Solve for x to find Saturday's points.

Multiply the number of members by the number of items each member donates. For example, if there are 32 members and each donates 15 items, total items = 32 * 15 = 480.

A 30% discount means you save 30% of the original price. If the original price is P, the savings are $$0.30P$$ .

To sum fractions, find a common denominator, convert each fraction, and then add the numerators. Simplify if necessary.

The average is found by adding all the numbers together and dividing by the count of numbers. Formula: $$\text{Average} = \frac{\text{Sum of values}}{\text{Number of values}}$$ .

A fraction represents a part of a whole and is expressed as $$\frac{a}{b}$$ , where a is the numerator and b is the denominator.

To convert a fraction to a decimal, divide the numerator by the denominator. For example, $$\frac{1}{4} = 0.25$$ .

The LCM of two or more numbers is the smallest number that is a multiple of each. It is used to find a common denominator when adding or subtracting fractions.

The GCD of two or more numbers is the largest number that divides each of them without leaving a remainder.