Clearing Fractions and Decimals in Equations

Front

What is the process of clearing fractions and decimals in an equation?

Back

The process involves eliminating fractions and decimals by multiplying both sides of the equation by a common denominator or a power of 10, respectively, to simplify the equation for easier solving.

Front

How do you clear decimals in the equation 2.5y + 6 = 23.5?

Back

Multiply the entire equation by 10 to eliminate the decimal: 25y + 60 = 235.

Front

What is the first step to solve the equation 1.25m + 1.5 = 7.5?

Back

Multiply the entire equation by 100 to eliminate the decimals: 125m + 150 = 750.

Front

What is the solution to the equation 2.5y + 6 = 23.5 after clearing decimals?

Back

y = 7.

Front

What is the solution to the equation 1.25m + 1.5 = 7.5 after clearing decimals?

Back

m = 4.8.

Front

What does it mean to 'clear fractions' in an equation?

Back

It means to eliminate fractions by multiplying both sides of the equation by the least common denominator.

Front

Solve the equation by clearing decimals: 0.5x + 2 = 5.

Back

x = 6.

Front

What is the least common denominator for the fractions 1/2 and 1/3?

Back

The least common denominator is 6.

Front

How do you clear the fraction in the equation 3/4x = 12?

Back

Multiply both sides by 4 to eliminate the fraction: 3x = 48.

Front

What is the solution to the equation 3/4x = 12 after clearing the fraction?

Back

x = 16.