# 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 $${\color{rgb(20,165,174)} x}$$
$${\color{rgb(20,165,174)} x}\approx24.980225539\approx24.9802$$
$$\text{Conversion Equation}$$
$$1.0\left(ounce\right)\approx{\color{rgb(20,165,174)} 24.9802}\left(fluid \text{ } scruple\right)$$