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**Table: Expressions used to perform ratio arithmetic** <a id="tab:ratio.arithmetic">[tab:ratio.arithmetic]</a>
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| Type | Value of `X` | Value of `Y` |
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| ------------------------ | --------------------- | ------------------- |
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| `ratio_add<R1, R2>` | `R1::num * R2::den +` | `R1::den * R2::den` |
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| | `R2::num * R1::den` | |
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| `ratio_subtract<R1, R2>` | `R1::num * R2::den -` | `R1::den * R2::den` |
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| | `R2::num * R1::den` | |
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| `ratio_multiply<R1, R2>` | `R1::num * R2::num` | `R1::den * R2::den` |
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| `ratio_divide<R1, R2>` | `R1::num * R2::den` | `R1::den * R2::num` |
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