Solve -1+9/16a*4+1=4.5

$$- 1 + \frac { 9 } { 16 } a \times 4 + 1 = 4.5$$

Solve for a

$$a=2$$

Steps for Solving Linear Equation

Express \frac{9}{16}\times 4 as a single fraction.

$$-1+\frac{9\times 4}{16}a+1=4.5$$

Multiply 9 and 4 to get 36.

$$-1+\frac{36}{16}a+1=4.5$$

Reduce the fraction \frac{36}{16} to lowest terms by extracting and canceling out 4.

$$-1+\frac{9}{4}a+1=4.5$$

Add -1 and 1 to get 0.

$$\frac{9}{4}a=4.5$$

Multiply both sides by \frac{4}{9}, the reciprocal of \frac{9}{4}.

$$a=4.5\times \frac{4}{9}$$

Convert decimal number 4.5 to fraction \frac{45}{10}. Reduce the fraction \frac{45}{10} to lowest terms by extracting and canceling out 5.

$$a=\frac{9}{2}\times \frac{4}{9}$$

Multiply \frac{9}{2} times \frac{4}{9} by multiplying numerator times numerator and denominator times denominator.

$$a=\frac{9\times 4}{2\times 9}$$

Cancel out 9 in both numerator and denominator.

$$a=\frac{4}{2}$$

Divide 4 by 2 to get 2.

$$a=2$$