GCSE(F),

The number at the start of a term - for example, the number 3 at the start of 3*x*, is known as a **coefficient**. The coefficient of 5*x*^{3} is 5. But the coefficient need not necessarily be an integer; it may be a fraction or a decimal.

1. Simplify `frac(1)(2)`*a* + `frac(1)(3)`*a*.

Answer: `frac(5)(6)`*a*

`frac(1)(2)`*a* + `frac(1)(3)`*a*
= `frac(3)(6)`*a* + `frac(2)(6)`*a*
= `frac(5)(6)`*a*

2. Multiply `frac(1)(2)`*b* and 4*b*.

Answer: 2*b*^{2}

`frac(1)(2)` x 4 x *b* x *b* = 2*b*^{2}

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