Solving Equations with Fractions and Decimals

Front

What is a fraction?

Back

A fraction represents a part of a whole and is expressed as a ratio of two integers, with a numerator (top number) and a denominator (bottom number).

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.

Front

How do you solve an equation with fractions?

Back

To solve an equation with fractions, you can multiply every term by the least common denominator (LCD) to eliminate the fractions.

Front

What is the least common denominator (LCD)?

Back

The least common denominator is the smallest multiple that is common to the denominators of two or more fractions.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the first step in solving a multi-step equation?

Back

The first step is to simplify both sides of the equation, which may include combining like terms and eliminating fractions or decimals.

Front

Solve the equation: 3 1/2x - 2 1/2 = 7

Back

x = 4

Front

Solve the equation: 1.25x - 0.5 = 3.5

Back

x = 3.6

Front

If f ÷ 0.8 = 7, what is f?

Back

f = 5.6

Front

What do you multiply by to clear decimals in 3.04y - 6.7 = 9.12?

Back

Multiply by 100.