Full solution

Q. ine Hart

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ed, neat fashion. Please do all of your work at the beginning of class.

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ced to lowest terms.

\frac{3}{14} \times \frac{12}{9}

Identify Fractions: Identify the fractions to be multiplied and set up the multiplication. $\newline$ We have two fractions, $(\frac{3}{14})$ and $(\frac{12}{9})$ , and we need to multiply them. $\newline$ Calculation: $(\frac{3}{14}) \times (\frac{12}{9})$
Multiply Numerators and Denominators: Multiply the numerators and the denominators separately. $\newline$ To multiply fractions, we multiply the numerators (top numbers) together and the denominators (bottom numbers) together. $\newline$ Calculation: Numerator = $3 \times 12$ , Denominator = $14 \times 9$
Perform Multiplication: Perform the multiplication for the numerators and denominators. $\newline$ Now we calculate the products of the numerators and denominators. $\newline$ Calculation: Numerator = $3 \times 12 = 36$ , Denominator = $14 \times 9 = 126$
Write Resulting Fraction: Write down the resulting fraction before simplification. $\newline$ The resulting fraction from the multiplication is $(\frac{36}{126})$ . $\newline$ Calculation: $(\frac{36}{126})$
Simplify Fraction: Simplify the fraction to its lowest terms. $\newline$ To simplify the fraction, we need to find the greatest common divisor (GCD) of the numerator and the denominator and divide both by that number. $\newline$ Calculation: GCD of $36$ and $126$ is $18$ .
Divide by GCD: Divide the numerator and the denominator by the GCD to simplify the fraction. $\newline$ Now we divide both the numerator and the denominator by $18$ to simplify the fraction. $\newline$ Calculation: Numerator = $36 \div 18 = 2$ , Denominator = $126 \div 18 = 7$
Write Simplified Fraction: Write down the simplified fraction. $\newline$ The simplified fraction is $(\frac{2}{7})$ . $\newline$ Calculation: $(\frac{2}{7})$