Solving Equations Involving Fractions: A Step-by-Step Guide, Summaries of Mathematics

A step-by-step analysis on how to solve equations that involve fractions. Using examples #1 and #12, it demonstrates the process of eliminating fractions by multiplying both sides of the equation by the denominator and isolating the variable. The document also emphasizes the importance of handling the signs correctly.

Typology: Summaries

2021/2022

Uploaded on 09/02/2022

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HOW TO SOLVE
To solve the following equation there is a need to know about fractions. Fractions, are problems in
division stated as a problem. Below is a step-by-step analysis on how to solve the problem. Let us
take problems Number 1 and number 12 as examples.
SOLVING FOR #1
๐‘ฅ
2+11 =19
(๐Ÿ)(๐‘ฅ
๐Ÿ+11) = (19)(๐Ÿ)
๐‘ฅ + 22 =38
๐‘ฅ = 38 โˆ’ 22
๐‘ฅ = 16
SOLVING FOR #12
๐‘ฅ + 3
8= โˆ’2
(๐Ÿ–)(๐‘ฅ+3
๐Ÿ–) = (โˆ’2)(8)
๐‘ฅ + 3 = โˆ’16
๐‘ฅ = โˆ’16โˆ’3
๐‘ฅ = โˆ’19
โ€ข Solve for x wherein one side has a fraction.
โ€ข Remove the fraction by multiplying both sides by the denominator. Take
not that when you eliminate a fraction, the WHOLE EQUATION must be
multiplied by the denominator.
โ€ข After multiplying, ISOLATE x by deducting both sides by 22.
โ€ข Add the similar terms
For example. POSITIVE PLUS NEGATIVE
38 + (-22)
โ€ข The answer is ๐’™ = ๐Ÿ๐Ÿ”
โ€ข Use the same procedure in problem #1
โ€ข ELIMINATE the FRACTION by multiplying both sides by 8.
โ€ข ADD the numbers
โ€ข The answer is ๐’™ = โˆ’๐Ÿ๐Ÿ—

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HOW TO SOLVE

To solve the following equation there is a need to know about fractions. Fractions, are problems in

division stated as a problem. Below is a step-by-step analysis on how to solve the problem. Let us

take problems Number 1 and number 12 as examples.

SOLVING FOR

SOLVING FOR

  • Solve for x wherein one side has a fraction.
  • Remove the fraction by multiplying both sides by the denominator. Take

not that when you eliminate a fraction, the WHOLE EQUATION must be

multiplied by the denominator.

  • After multiplying, ISOLATE x by deducting both sides by 22.
  • Add the similar terms

For example. POSITIVE PLUS NEGATIVE

38 + (- 22 )

  • The answer is ๐’™ = ๐Ÿ๐Ÿ”
    • Use the same procedure in problem #
    • ELIMINATE the FRACTION by multiplying both sides by 8.
    • ADD the numbers
    • The answer is ๐’™ = โˆ’๐Ÿ๐Ÿ—