Solve 9.34*0.2-5/7+frac{1{34}}

$$9.34 \times 0.2- \frac{ 5 }{ 7+ \frac{ 1 }{ 34 } }$$

Evaluate

$$\frac{69113}{59750}\approx 1.156702929$$

Solution Steps

Multiply 9.34 and 0.2 to get 1.868.

$$1.868-\frac{5}{7+\frac{1}{34}}$$

Convert 7 to fraction \frac{238}{34}.

$$1.868-\frac{5}{\frac{238}{34}+\frac{1}{34}}$$

Since \frac{238}{34} and \frac{1}{34} have the same denominator, add them by adding their numerators.

$$1.868-\frac{5}{\frac{238+1}{34}}$$

Add 238 and 1 to get 239.

$$1.868-\frac{5}{\frac{239}{34}}$$

Divide 5 by \frac{239}{34} by multiplying 5 by the reciprocal of \frac{239}{34}.

$$1.868-5\times \frac{34}{239}$$

Express 5\times \frac{34}{239} as a single fraction.

$$1.868-\frac{5\times 34}{239}$$

Multiply 5 and 34 to get 170.

$$1.868-\frac{170}{239}$$

Convert decimal number 1.868 to fraction \frac{1868}{1000}. Reduce the fraction \frac{1868}{1000} to lowest terms by extracting and canceling out 4.

$$\frac{467}{250}-\frac{170}{239}$$

Least common multiple of 250 and 239 is 59750. Convert \frac{467}{250} and \frac{170}{239} to fractions with denominator 59750.

$$\frac{111613}{59750}-\frac{42500}{59750}$$

Since \frac{111613}{59750} and \frac{42500}{59750} have the same denominator, subtract them by subtracting their numerators.

$$\frac{111613-42500}{59750}$$

Subtract 42500 from 111613 to get 69113.

$$\frac{69113}{59750}$$

Factor

$$\frac{11 \cdot 61 \cdot 103}{2 \cdot 239 \cdot 5 ^ {3}} = 1\frac{9363}{59750} = 1.1567029288702928$$