Question

Find the product and simplify. 5/16 of 24/15

Answer 1

$Solution, \frac{5}{16}\cdot \frac{24}{15}=\frac{1}{2}\quad \left(\mathrm{Decimal:\quad }\:0.5\right)$

$Steps:$

$\frac{5}{16}\cdot \frac{24}{15}$

$\frac{24}{15}=\frac{8}{5},\\\frac{8}{5}\cdot \frac{5}{16}$

$\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d},\\\frac{5\cdot \:8}{16\cdot \:5}$

$\mathrm{Cancel\:the\:common\:factor:5,\\}\\\frac{8}{16}$

$\mathrm{Cancel\:the\:common\:factor:}\:8,\\\frac{1}{2}$

$\mathrm{The\:Correct\:Answer\:is\:\frac{1}{2}}$

$\mathrm{Hope\:This\:Helps!!!}$

$\mathrm{Please\:Mark\:Brainliest!!!}$

$\mathrm{-Austint1414}$

Answer 2

Answer:

1/2

Step-by-step explanation:

First, write out the product.  Then, reduce as far as possible:

5       24         5(1)(4)(6)

----- * ------- = ---------------   Here, the 5s cancel, and so we get:

16       15         5(3)(4)(4)

4(6)

----------

3(4)(4)

Here, the 4 in the numerator cancels out one of the 4s in the denominator:

 6

------

12

and this last result reduces to 1/2.