Step 1a

The given fraction is \$33 1/3\$.

Multiply the whole number part by the denominator.

Explanation: The given fraction is \$33 1/3\$. It is a mixed fraction, a combination of a whole number and a fraction part. We have to multiply the whole number with the denominator of the proper fraction, i.e., 33 × 3 = 99.

Step 1b

Next step, add the product of the whole number part and the denominator of the fraction to the numerator.

Explanation: In this step, 99 + 1 is 100, remains the denominator is the same \$100/3\$.

Step 2a

The given mixed fraction is \$30 45/20\$. 30 is a whole number, and \$45/20\$ is a fraction.

Explanation: In this step, the given mixed fraction is \$30 45/20\$. 15 is a whole number and \$23/8\$ is a fraction.

Step 2b

First, convert mixed fractions into an improper fraction by multiplying the denominator with the whole number i.e,30 x 20 = 600

Explanation: In this step, to transform mixed fractions into improper fractions, multiply the denominator by the whole number. For this instance, 30 x 20 = 600.

Step 2c

Next, add the new product to the numerator, i.e., 600 + 45 = 645.

So, then the improper fraction is \$645/20\$.

Explanation: In this step, add 45 to 600 to get the sum of 645. This gives us the improper fraction \$645/20\$.

Step 2d

Finally, to convert improper fractions into a decimal, simply use the normal division method: \$645/20\$ = 32.25.

So,\$30 45/20\$ in decimal form is 32.25.

Explanation: In this step, an improper fraction is converted to a decimal. For instance, if you have \$645/20\$, simply divide the numerator by the denominator to get the decimal form, which in this case is 32.25.