Question

Simplify 2(5/3+3/4)-4/3 A) 13/12 B) 11/4 C) 3 D) 7/2

Answer 1

The answer would be d.7/2

Answer 2

Hello there!

$2(5/3+3/4)-4/3$

Explanation:

↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓

$2(\frac{5}{3}+\frac{3}{4})-\frac{4}{3}$

$2(\frac{5}{3}+\frac{3}{4})=\frac{29}{6}$

$\frac{29}{6}-\frac{4}{3}$

You had to used least common multiple of 6 and 3.

Prime factorization of 6: 1, 2, 3, 6

3*2=6

Prime factorization of 3: 1, 3

1*3=3

Then multiply by the number

3*2=6

You can also multiply by each numerator by the same amount needed to multiply its corresponding denominator to turn it into the least common multiple is 6.

Then you had to used 4/3 multiply by the denominator and numerator by 2.

$\frac{4}{3}=\frac{4*2}{3*2}=\frac{8}{6}$

$\frac{29}{6}-\frac{8}{6}$

Since the denominators are equal, it combine by the fractions.

$\frac{29-8}{6}$

Then you can subtract by the numbers.

$29-8=21$

$\frac{21}{6}$

You had to cancel by the common factor of 3.

$=\frac{7}{2}$

Answer⇒⇒⇒⇒7/2

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-Charlie