Solve 9:45+8:30=H_{1}

$$9 : 45 + 8 : 30 = H _ { 1 }$$

Solve for H_1

$$H_{1}=\frac{7}{15}\approx 0.466666667$$

Steps for Solving Linear Equation

Reduce the fraction \frac{9}{45} to lowest terms by extracting and canceling out 9.

$$\frac{1}{5}+\frac{8}{30}=H_{1}$$

Reduce the fraction \frac{8}{30} to lowest terms by extracting and canceling out 2.

$$\frac{1}{5}+\frac{4}{15}=H_{1}$$

Least common multiple of 5 and 15 is 15. Convert \frac{1}{5} and \frac{4}{15} to fractions with denominator 15.

$$\frac{3}{15}+\frac{4}{15}=H_{1}$$

Since \frac{3}{15} and \frac{4}{15} have the same denominator, add them by adding their numerators.

$$\frac{3+4}{15}=H_{1}$$

Add 3 and 4 to get 7.

$$\frac{7}{15}=H_{1}$$

Swap sides so that all variable terms are on the left hand side.

$$H_{1}=\frac{7}{15}$$