Solve 3/4+1/25/4-1/3=

$$\frac{ 3 }{ 4 } + \frac{ 1 }{ 2 } \frac{ 5 }{ 4 } - \frac{ 1 }{ 3 } =$$

Evaluate

$$\frac{25}{24}\approx 1.041666667$$

Solution Steps

Multiply \frac{1}{2} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3}{4}+\frac{1\times 5}{2\times 4}-\frac{1}{3}$$

Do the multiplications in the fraction \frac{1\times 5}{2\times 4}.

$$\frac{3}{4}+\frac{5}{8}-\frac{1}{3}$$

Least common multiple of 4 and 8 is 8. Convert \frac{3}{4} and \frac{5}{8} to fractions with denominator 8.

$$\frac{6}{8}+\frac{5}{8}-\frac{1}{3}$$

Since \frac{6}{8} and \frac{5}{8} have the same denominator, add them by adding their numerators.

$$\frac{6+5}{8}-\frac{1}{3}$$

Add 6 and 5 to get 11.

$$\frac{11}{8}-\frac{1}{3}$$

Least common multiple of 8 and 3 is 24. Convert \frac{11}{8} and \frac{1}{3} to fractions with denominator 24.

$$\frac{33}{24}-\frac{8}{24}$$

Since \frac{33}{24} and \frac{8}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{33-8}{24}$$

Subtract 8 from 33 to get 25.

$$\frac{25}{24}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {3} \cdot 3} = 1\frac{1}{24} = 1.0416666666666667$$