# Convert square meter to acre

Learn how to convert 1 square meter to acre step by step.

## Calculation Breakdown

Set up the equation
$$1.0\left(square \text{ } meter\right)={\color{rgb(20,165,174)} x}\left(acre\right)$$
Define the base values of the selected units in relation to the SI unit $$\left(square \text{ } meter\right)$$
$$\text{Left side: 1.0 } \left(square \text{ } meter\right) = {\color{rgb(89,182,91)} 1.0\left(square \text{ } meter\right)} = {\color{rgb(89,182,91)} 1.0\left(m^{2}\right)}$$
$$\text{Right side: 1.0 } \left(acre\right) = {\color{rgb(125,164,120)} 4046.8564224\left(square \text{ } meter\right)} = {\color{rgb(125,164,120)} 4046.8564224\left(m^{2}\right)}$$
Insert known values into the conversion equation to determine $${\color{rgb(20,165,174)} x}$$
$$1.0\left(square \text{ } meter\right)={\color{rgb(20,165,174)} x}\left(acre\right)$$
$$\text{Insert known values } =>$$
$$1.0 \times {\color{rgb(89,182,91)} 1.0} \times {\color{rgb(89,182,91)} \left(square \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 4046.8564224}} \times {\color{rgb(125,164,120)} \left(square \text{ } meter\right)}$$
$$\text{Or}$$
$$1.0 \cdot {\color{rgb(89,182,91)} 1.0} \cdot {\color{rgb(89,182,91)} \left(m^{2}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 4046.8564224} \cdot {\color{rgb(125,164,120)} \left(m^{2}\right)}$$
$$\text{Cancel SI units}$$
$$1.0 \times {\color{rgb(89,182,91)} 1.0} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{2}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 4046.8564224} \times {\color{rgb(125,164,120)} \cancel{\left(m^{2}\right)}}$$
$$\text{Conversion Equation}$$
$$1.0 = {\color{rgb(20,165,174)} x} \times 4046.8564224$$
$$\text{Simplify}$$
$$1.0 = {\color{rgb(20,165,174)} x} \times 4046.8564224$$
Switch sides
$${\color{rgb(20,165,174)} x} \times 4046.8564224 = 1.0$$
Isolate $${\color{rgb(20,165,174)} x}$$
Multiply both sides by $$\left(\dfrac{1.0}{4046.8564224}\right)$$
$${\color{rgb(20,165,174)} x} \times 4046.8564224 \times \dfrac{1.0}{4046.8564224} = 1.0 \times \dfrac{1.0}{4046.8564224}$$
$$\text{Cancel}$$
$${\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{4046.8564224}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{4046.8564224}}} = 1.0 \times \dfrac{1.0}{4046.8564224}$$
$$\text{Simplify}$$
$${\color{rgb(20,165,174)} x} = \dfrac{1.0}{4046.8564224}$$
Solve $${\color{rgb(20,165,174)} x}$$
$${\color{rgb(20,165,174)} x}\approx0.0002471054\approx2.4711 \times 10^{-4}$$
$$\text{Conversion Equation}$$
$$1.0\left(square \text{ } meter\right)\approx{\color{rgb(20,165,174)} 2.4711 \times 10^{-4}}\left(acre\right)$$