Answer :
Sure, let's multiply the fractions [tex]\(\frac{5}{9}\)[/tex] and [tex]\(\frac{14}{15}\)[/tex] and simplify the result.
Step 1: Multiply the Numerators
- Multiply the numerators of the fractions: [tex]\(5 \times 14 = 70\)[/tex]
Step 2: Multiply the Denominators
- Multiply the denominators of the fractions: [tex]\(9 \times 15 = 135\)[/tex]
Now, we have the fraction [tex]\(\frac{70}{135}\)[/tex].
Step 3: Simplify the Fraction
- To simplify, we need to find the greatest common divisor (GCD) of 70 and 135.
- The GCD of 70 and 135 is 5.
Step 4: Divide the Numerator and Denominator by the GCD
- Divide the numerator and the denominator by their GCD:
- [tex]\(\frac{70 \div 5}{135 \div 5} = \frac{14}{27}\)[/tex]
So, the product of [tex]\(\frac{5}{9}\)[/tex] and [tex]\(\frac{14}{15}\)[/tex] is [tex]\(\frac{14}{27}\)[/tex].
Step 1: Multiply the Numerators
- Multiply the numerators of the fractions: [tex]\(5 \times 14 = 70\)[/tex]
Step 2: Multiply the Denominators
- Multiply the denominators of the fractions: [tex]\(9 \times 15 = 135\)[/tex]
Now, we have the fraction [tex]\(\frac{70}{135}\)[/tex].
Step 3: Simplify the Fraction
- To simplify, we need to find the greatest common divisor (GCD) of 70 and 135.
- The GCD of 70 and 135 is 5.
Step 4: Divide the Numerator and Denominator by the GCD
- Divide the numerator and the denominator by their GCD:
- [tex]\(\frac{70 \div 5}{135 \div 5} = \frac{14}{27}\)[/tex]
So, the product of [tex]\(\frac{5}{9}\)[/tex] and [tex]\(\frac{14}{15}\)[/tex] is [tex]\(\frac{14}{27}\)[/tex].
