Mathematics Knowledge
Algebra with Fractions
Yesterday I presented a question about solving for x. This question involves algebra with fractions.
The question was:
¾ x = 12
What is x?
This problem involves algebra and fractions. Algebra is a key part of the Mathematics Knowledge section of the ASVAB. As an ASVAB tutor, one of the 15 subtopics I review in my ASVAB prep course and in my book, The ASVAB Tutor’s Mathematics Knowledge Study Guide is algebra with fractions.
Do you know how to solve for x when there is fraction in front of the x?
In order to solve for x, it is necessary to multiply by the reciprocal on both sides of the equation.
3/4x = 12
Multiply by 4/3 on each side.
4/3 × 3/4 x = 12/1 × 4/3
4/3 × 3/4 cancels out leaving 1.
It becomes just x
x = 12/1 × 4/3 = 48/3 = 16
x = 16
Did you know how to solve this problem?
