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Sagot :
To solve the problem of multiplying the fractions [tex]\(\frac{3}{4}\)[/tex] and [tex]\(\frac{16}{9}\)[/tex], follow these detailed steps:
1. Numerator Calculation:
- Multiply the numerators of both fractions:
[tex]\[ 3 \times 16 = 48 \][/tex]
2. Denominator Calculation:
- Multiply the denominators of both fractions:
[tex]\[ 4 \times 9 = 36 \][/tex]
3. Form the New Fraction:
- The result of multiplying the two fractions is:
[tex]\[ \frac{48}{36} \][/tex]
4. Simplify the Fraction:
- To simplify [tex]\(\frac{48}{36}\)[/tex], find the greatest common divisor (GCD) of 48 and 36. The GCD of 48 and 36 is 12.
- Divide both the numerator and the denominator by their GCD:
[tex]\[ \frac{48 \div 12}{36 \div 12} = \frac{4}{3} \][/tex]
Thus, the simplified result of the multiplication [tex]\(\frac{3}{4} \times \frac{16}{9}\)[/tex] is [tex]\( \frac{4}{3} \)[/tex].
The best answer for the question is:
A. [tex]\( \frac{4}{3} \)[/tex]
1. Numerator Calculation:
- Multiply the numerators of both fractions:
[tex]\[ 3 \times 16 = 48 \][/tex]
2. Denominator Calculation:
- Multiply the denominators of both fractions:
[tex]\[ 4 \times 9 = 36 \][/tex]
3. Form the New Fraction:
- The result of multiplying the two fractions is:
[tex]\[ \frac{48}{36} \][/tex]
4. Simplify the Fraction:
- To simplify [tex]\(\frac{48}{36}\)[/tex], find the greatest common divisor (GCD) of 48 and 36. The GCD of 48 and 36 is 12.
- Divide both the numerator and the denominator by their GCD:
[tex]\[ \frac{48 \div 12}{36 \div 12} = \frac{4}{3} \][/tex]
Thus, the simplified result of the multiplication [tex]\(\frac{3}{4} \times \frac{16}{9}\)[/tex] is [tex]\( \frac{4}{3} \)[/tex].
The best answer for the question is:
A. [tex]\( \frac{4}{3} \)[/tex]
Answer:
hello
Step-by-step explanation:
3/4 x 16/9
=(3x1/1x4) x (4x4 / 3*3)
= 4/3
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