163k views
4 votes
Identify the expression as an equation containing fractions, a fractional equation, or a proportion.

x/12 = 17/3 - 2x/2 - 5 + 3x/12
A. Equation containing fractions
B.Fractional equation
C. Proportion

1 Answer

3 votes

Final answer:

The given expression x/12 = 17/3 - 2x/2 - 5 + 3x/12 is an equation containing fractions rather than being a fractional equation or a proportion, as it includes multiple terms with fractions and doesn't represent a ratio or equivalent fractions.

Step-by-step explanation:

The student's question involves identifying an expression as one of the following: an equation containing fractions, a fractional equation, or a proportion. The given expression is x/12 = 17/3 - 2x/2 - 5 + 3x/12. This expression is an equation containing fractions because it includes fractions in its form but is not set up as a proportion. Moreover, there is not a single term on either side of the equal sign, and all terms are not isolated fractions which would define it as a fractional equation.

An equation containing fractions has variables and/or numeric values in the form of fractions within it. A fractional equation, on the other hand, is mostly comprised of a single fraction equal to another single fraction or a number. A proportion is when two ratios or fractions are equivalent.

The expression x/12 = 17/3 - 2x/2 - 5 + 3x/12 can be solved by combining like terms and using algebraic techniques such as getting a common denominator, distributing, and combining like terms to solve for x.

User Seberg
by
7.5k points