Operations with Fractions and Decimals

Front

What is a fraction?

Back

A fraction represents a part of a whole and is written as 'a/b', where 'a' is the numerator (part) and 'b' is the denominator (whole).

Front

What is a decimal?

Back

A decimal is a way of expressing numbers that are not whole, using a point to separate the whole number part from the fractional part, e.g., 0.75.

Front

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. For example, (2/3) × (4/5) = (2×4)/(3×5) = 8/15.

Front

How do you convert a fraction to a decimal?

Back

To convert a fraction to a decimal, divide the numerator by the denominator. For example, 1/4 = 1 ÷ 4 = 0.25.

Front

What is the area of a rectangle?

Back

The area of a rectangle is calculated by multiplying its length by its width. Area = length × width.

Front

How do you add fractions with different denominators?

Back

To add fractions with different denominators, find a common denominator, convert the fractions, and then add the numerators. For example, 1/4 + 1/6 = 3/12 + 2/12 = 5/12.

Front

What is the formula for finding the cost of multiple items?

Back

The cost of multiple items is found by multiplying the cost of one item by the number of items. Cost = price per item × quantity.

Front

How do you multiply a decimal by a whole number?

Back

To multiply a decimal by a whole number, multiply as if there were no decimal, then place the decimal point in the product based on the number of decimal places in the original decimal.

Front

What does it mean to scale a number?

Back

Scaling a number means to multiply it by a factor, which increases or decreases its size. For example, scaling 5 by 2 gives 10.

Front

What is the relationship between pounds and kilograms?

Back

1 pound is approximately equal to 0.453592 kilograms. To convert pounds to kilograms, multiply by 0.453592.