Convert ounce to fluid scruple
Learn how to convert
1
ounce to
fluid scruple
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(ounce\right)={\color{rgb(20,165,174)} x}\left(fluid \text{ } scruple\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(cubic \text{ } meter\right)\)
\(\text{Left side: 1.0 } \left(ounce\right) = {\color{rgb(89,182,91)} 2.95735295625 \times 10^{-5}\left(cubic \text{ } meter\right)} = {\color{rgb(89,182,91)} 2.95735295625 \times 10^{-5}\left(m^{3}\right)}\)
\(\text{Right side: 1.0 } \left(fluid \text{ } scruple\right) = {\color{rgb(125,164,120)} 1.18387760416667 \times 10^{-6}\left(cubic \text{ } meter\right)} = {\color{rgb(125,164,120)} 1.18387760416667 \times 10^{-6}\left(m^{3}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(ounce\right)={\color{rgb(20,165,174)} x}\left(fluid \text{ } scruple\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 2.95735295625 \times 10^{-5}} \times {\color{rgb(89,182,91)} \left(cubic \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 1.18387760416667 \times 10^{-6}}} \times {\color{rgb(125,164,120)} \left(cubic \text{ } meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 2.95735295625 \times 10^{-5}} \cdot {\color{rgb(89,182,91)} \left(m^{3}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 1.18387760416667 \times 10^{-6}} \cdot {\color{rgb(125,164,120)} \left(m^{3}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 2.95735295625 \times 10^{-5}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{3}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 1.18387760416667 \times 10^{-6}} \times {\color{rgb(125,164,120)} \cancel{\left(m^{3}\right)}}\)
\(\text{Conversion Equation}\)
\(2.95735295625 \times 10^{-5} = {\color{rgb(20,165,174)} x} \times 1.18387760416667 \times 10^{-6}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\(2.95735295625 \times {\color{rgb(255,204,153)} \cancel{10^{-5}}} = {\color{rgb(20,165,174)} x} \times 1.18387760416667 \times {\color{rgb(255,204,153)} \cancelto{10^{-1}}{10^{-6}}}\)
\(\text{Simplify}\)
\(2.95735295625 = {\color{rgb(20,165,174)} x} \times 1.18387760416667 \times 10^{-1}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 1.18387760416667 \times 10^{-1} = 2.95735295625\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{1.18387760416667 \times 10^{-1}}\right)\)
\({\color{rgb(20,165,174)} x} \times 1.18387760416667 \times 10^{-1} \times \dfrac{1.0}{1.18387760416667 \times 10^{-1}} = 2.95735295625 \times \dfrac{1.0}{1.18387760416667 \times 10^{-1}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{1.18387760416667}} \times {\color{rgb(99,194,222)} \cancel{10^{-1}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{1.18387760416667}} \times {\color{rgb(99,194,222)} \cancel{10^{-1}}}} = 2.95735295625 \times \dfrac{1.0}{1.18387760416667 \times 10^{-1}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{2.95735295625}{1.18387760416667 \times 10^{-1}}\)
Rewrite equation
\(\dfrac{1.0}{10^{-1}}\text{ can be rewritten to }10\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10.0 \times 2.95735295625}{1.18387760416667}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx24.980225539\approx24.9802\)
\(\text{Conversion Equation}\)
\(1.0\left(ounce\right)\approx{\color{rgb(20,165,174)} 24.9802}\left(fluid \text{ } scruple\right)\)
