Convert joule to calorie

Learn how to convert 1 joule to calorie step by step.

Calculation Breakdown

Set up the equation

1.0 (j o u l e) = x (c a l o r i e)

Define the base values of the selected units in relation to the SI unit

(j o u l e)

Left side: 1.0 (j o u l e) = 1.0 (j o u l e) = 1.0 (J)

Right side: 1.0 (c a l o r i e) = 4.182 (j o u l e) = 4.182 (J)

Insert known values into the conversion equation to determine

x

1.0 (j o u l e) = x (c a l o r i e)

Insert known values =>

1.0 \times 1.0 \times (j o u l e) = x \times 4.182 \times (j o u l e)

Or

1.0 \cdot 1.0 \cdot (J) = x \cdot 4.182 \cdot (J)

Cancel SI units

1.0 \times 1.0 \cdot (J) = x \times 4.182 \times (J)

Conversion Equation

1.0 = x \times 4.182

Simplify

1.0 = x \times 4.182

Switch sides

x \times 4.182 = 1.0

Isolate

x

Multiply both sides by

(\frac{1.0}{4.182})

x \times 4.182 \times \frac{1.0}{4.182} = 1.0 \times \frac{1.0}{4.182}

Cancel

x \times 4.182 \times \frac{1.0}{4.182} = 1.0 \times \frac{1.0}{4.182}

Simplify

x = \frac{1.0}{4.182}

Solve

x

x \approx 0.2391200383 \approx 2.3912 \times 10^{- 1}

Conversion Equation

1.0 (j o u l e) \approx 2.3912 \times 10^{- 1} (c a l o r i e)

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