Solve 37.5=11/4=6

$$37.5 = 1 \frac { 1 } { 4 } = 6$$

Verify

Solution Steps

Multiply 1 and 4 to get 4.

$$37.5=\frac{4+1}{4}\text{ and }\frac{1\times 4+1}{4}=6$$

Add 4 and 1 to get 5.

$$37.5=\frac{5}{4}\text{ and }\frac{1\times 4+1}{4}=6$$

Convert decimal number 37.5 to fraction \frac{375}{10}. Reduce the fraction \frac{375}{10} to lowest terms by extracting and canceling out 5.

$$\frac{75}{2}=\frac{5}{4}\text{ and }\frac{1\times 4+1}{4}=6$$

Least common multiple of 2 and 4 is 4. Convert \frac{75}{2} and \frac{5}{4} to fractions with denominator 4.

$$\frac{150}{4}=\frac{5}{4}\text{ and }\frac{1\times 4+1}{4}=6$$

Compare \frac{150}{4} and \frac{5}{4}.

$$\text{false}\text{ and }\frac{1\times 4+1}{4}=6$$

Multiply 1 and 4 to get 4.

$$\text{false}\text{ and }\frac{4+1}{4}=6$$

Add 4 and 1 to get 5.

$$\text{false}\text{ and }\frac{5}{4}=6$$

Convert 6 to fraction \frac{24}{4}.

$$\text{false}\text{ and }\frac{5}{4}=\frac{24}{4}$$

Compare \frac{5}{4} and \frac{24}{4}.

$$\text{false}\text{ and }\text{false}$$

The conjunction of \text{false} and \text{false} is \text{false}.

$$\text{false}$$