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Solving multi-step equation containing fractions and decimals

Solving multi-step equation containing fractions and decimals. Vocabulary. Coefficient. Is the number being multiplied to a variable. Can be a whole number, integer, or fraction! What is the coefficient of: X 4x 2 7. Reciprocal.

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Solving multi-step equation containing fractions and decimals

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  1. Solving multi-step equation containing fractions and decimals

  2. Vocabulary

  3. Coefficient • Is the number being multiplied to a variable. • Can be a whole number, integer, or fraction! • What is the coefficient of: • X 4x 2 7

  4. Reciprocal • Afraction whose numerator and denominator are flipped from the original fraction. • What is the reciprocal of: • (1/2) • (-4/3)

  5. Solving Multi-step equations containing fractions

  6. Two ways to accomplish • Way 1: Find the least common denominator and combine like terms. • Always separate the coefficient from the variable first! • PUT RIGHT NEXT TO THE VARIABLE! • To UNDO the fraction coefficient: • MULTIPLY BY THE RECIPROCAL

  7. Way 2: Multiply first to clear the equation of fractions. • Multiply each piece of the equation by the LEAST COMMON DENOMINATOR. • Then follow the steps to get the variable alone.

  8. Solving Multi-step Equations containing decimals • Multiply by powers of 10 to undo decimals in an equation. • 10 ^1 • 10 ^2 • 10 ^3 • Look for the greatest amount of digits to the right of the decimal to determine which power of 10 you will multiply each piece by.

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