Solve 1.76*10=176/100*10=17.6

$$1.76 \times 10 = \frac { 176 } { 100 } \times 10 = 17.6$$

Verify

Solution Steps

Multiply 1.76 and 10 to get 17.6.

$$17.6=\frac{176}{100}\times 10\text{ and }\frac{176}{100}\times 10=17.6$$

Reduce the fraction \frac{176}{100} to lowest terms by extracting and canceling out 4.

$$17.6=\frac{44}{25}\times 10\text{ and }\frac{176}{100}\times 10=17.6$$

Express \frac{44}{25}\times 10 as a single fraction.

$$17.6=\frac{44\times 10}{25}\text{ and }\frac{176}{100}\times 10=17.6$$

Multiply 44 and 10 to get 440.

$$17.6=\frac{440}{25}\text{ and }\frac{176}{100}\times 10=17.6$$

Reduce the fraction \frac{440}{25} to lowest terms by extracting and canceling out 5.

$$17.6=\frac{88}{5}\text{ and }\frac{176}{100}\times 10=17.6$$

Convert decimal number 17.6 to fraction \frac{176}{10}. Reduce the fraction \frac{176}{10} to lowest terms by extracting and canceling out 2.

$$\frac{88}{5}=\frac{88}{5}\text{ and }\frac{176}{100}\times 10=17.6$$

Compare \frac{88}{5} and \frac{88}{5}.

$$\text{true}\text{ and }\frac{176}{100}\times 10=17.6$$

Reduce the fraction \frac{176}{100} to lowest terms by extracting and canceling out 4.

$$\text{true}\text{ and }\frac{44}{25}\times 10=17.6$$

Express \frac{44}{25}\times 10 as a single fraction.

$$\text{true}\text{ and }\frac{44\times 10}{25}=17.6$$

Multiply 44 and 10 to get 440.

$$\text{true}\text{ and }\frac{440}{25}=17.6$$

Reduce the fraction \frac{440}{25} to lowest terms by extracting and canceling out 5.

$$\text{true}\text{ and }\frac{88}{5}=17.6$$

Convert decimal number 17.6 to fraction \frac{176}{10}. Reduce the fraction \frac{176}{10} to lowest terms by extracting and canceling out 2.

$$\text{true}\text{ and }\frac{88}{5}=\frac{88}{5}$$

Compare \frac{88}{5} and \frac{88}{5}.

$$\text{true}\text{ and }\text{true}$$

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

$$\text{true}$$