Measurement is Mass
$
\underline{First\:\:Method:\:\:Unity\:\:Fraction\:\:Method} \\[3ex]
5\dfrac{3}{8}\:lb\:\:to\:\:oz \\[5ex]
5\dfrac{3}{8} = \dfrac{8 * 5 + 3}{8} = \dfrac{40 + 3}{8} = \dfrac{43}{8} \\[5ex]
\dfrac{43}{8}\:lb\:\:to\:\:oz \\[5ex]
= \dfrac{43}{8}\:lb * \dfrac{.....oz}{.....lb} \\[5ex]
= \dfrac{43}{8}\:lb * \dfrac{16\:oz}{1\:lb} \\[5ex]
= 43(2)\:oz \\[5ex]
= 86\:oz \\[3ex]
\underline{Second\:\:Method:\:\:Proportional\:\:Reasoning\:\:Method} \\[3ex]
1\:lb = 16\:oz \\[3ex]
Let\:\:p = mass\:\:of\:\:\dfrac{43}{8}\:lb\:\:in\:\:oz \\[3ex]
$
$pound$ |
$ounce$ |
$1$ |
$16$ |
$\dfrac{43}{8}$ |
$p$ |
$
\dfrac{p}{16} = \dfrac{\dfrac{43}{8}}{1} \\[7ex]
\dfrac{p}{16} = \dfrac{43}{8} \\[5ex]
Multiply\:\:both\:\:sides\:\:by\:\:16 \\[3ex]
16 * \dfrac{p}{16} = 16 * \dfrac{43}{8} \\[5ex]
p = 2(43)\:oz \\[3ex]
p = 86\:oz \\[3ex]
\therefore 5\dfrac{3}{8}\:lb = 86\:oz
$