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6. Multiply [tex]$ \frac{3}{4} \times \frac{16}{9} $[/tex].

A. [tex] \frac{64}{27} [/tex]
B. [tex] \frac{4}{3} [/tex]
C. [tex] \frac{27}{64} [/tex]
D. [tex] \frac{3}{4} [/tex]

Sagot :

GinnyAnsweridn
Let's solve the problem of multiplying the two fractions [tex]\(\frac{3}{4}\)[/tex] and [tex]\(\frac{16}{9}\)[/tex].

Step 1: Multiply the numerators together:
[tex]\[ 3 \times 16 = 48 \][/tex]

Step 2: Multiply the denominators together:
[tex]\[ 4 \times 9 = 36 \][/tex]

Now we have the fraction [tex]\(\frac{48}{36}\)[/tex].

Step 3: Simplify [tex]\(\frac{48}{36}\)[/tex]. To simplify a fraction, we divide the numerator and the denominator by their greatest common divisor (GCD).

The GCD of 48 and 36 is 12. Therefore,
[tex]\[ \frac{48}{36} = \frac{48 \div 12}{36 \div 12} = \frac{4}{3} \][/tex]

So, [tex]\(\frac{3}{4} \times \frac{16}{9} = \frac{4}{3}\)[/tex].

The best answer is:
B. [tex]\(\frac{4}{3}\)[/tex]
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