Question

Perform the indicated operation. 1 3/4 · 7/3? a.3/4 b.41/12 c.121/12 d.23/4

Answer 1

Answer:

$\huge\boxed{b.\ 4\dfrac{1}{12}}$

Step-by-step explanation:

$1\dfrac{3}{4}\cdot\dfrac{7}{3}$

convert the mixed number to the improper fraction:

$1\dfrac{3}{4}=\dfrac{1\cdot4+3}{4}=\dfrac{7}{3}$

multiply:

$=\dfrac{7}{4}\cdot\dfrac{7}{3}=\dfrac{7\cdot7}{3\cdot4}=\dfrac{49}{12}=\dfrac{48+1}{12}=\dfrac{48}{12}+\dfrac{1}{12}=4\dfrac{1}{12}$