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Answer :
To find the product of the fractions in lowest terms, follow these steps:
1. Multiply the Numerators:
- First, take the numerators of the fractions: [tex]\(18\)[/tex] and [tex]\(50\)[/tex].
- Multiply them: [tex]\(18 \times 50 = 900\)[/tex].
2. Multiply the Denominators:
- Next, take the denominators of the fractions: [tex]\(20\)[/tex] and [tex]\(45\)[/tex].
- Multiply them: [tex]\(20 \times 45 = 900\)[/tex].
3. Form the Fraction:
- The product of the fractions is [tex]\(\frac{900}{900}\)[/tex].
4. Simplify the Fraction:
- Divide both the numerator and the denominator by their greatest common divisor (GCD).
- The GCD of 900 and 900 is 900.
- Divide both the numerator and the denominator by 900: [tex]\(\frac{900 \div 900}{900 \div 900} = \frac{1}{1}\)[/tex].
Therefore, the product of the fractions [tex]\(\frac{18}{20} \cdot \frac{50}{45}\)[/tex] in its lowest terms is [tex]\(\frac{1}{1}\)[/tex], or simply 1.
1. Multiply the Numerators:
- First, take the numerators of the fractions: [tex]\(18\)[/tex] and [tex]\(50\)[/tex].
- Multiply them: [tex]\(18 \times 50 = 900\)[/tex].
2. Multiply the Denominators:
- Next, take the denominators of the fractions: [tex]\(20\)[/tex] and [tex]\(45\)[/tex].
- Multiply them: [tex]\(20 \times 45 = 900\)[/tex].
3. Form the Fraction:
- The product of the fractions is [tex]\(\frac{900}{900}\)[/tex].
4. Simplify the Fraction:
- Divide both the numerator and the denominator by their greatest common divisor (GCD).
- The GCD of 900 and 900 is 900.
- Divide both the numerator and the denominator by 900: [tex]\(\frac{900 \div 900}{900 \div 900} = \frac{1}{1}\)[/tex].
Therefore, the product of the fractions [tex]\(\frac{18}{20} \cdot \frac{50}{45}\)[/tex] in its lowest terms is [tex]\(\frac{1}{1}\)[/tex], or simply 1.
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