Write 75.42 in fractional notation.

7542/100

= 3771/50

Would you please explain further I am lost?

how about

75.42
= 75 + 42/100
= 75 21/50

and 3771/50 = 75 21/50

To write 75.42 in fractional notation, we need to convert the decimal number to a fraction.

Here's how you can do it:

Step 1: Count the number of decimal places in the given decimal number. In this case, we have two decimal places in 75.42.

Step 2: Write down the number without the decimal point as the numerator of the fraction. In this case, 75.

Step 3: Determine the denominator of the fraction. The denominator is determined by the number of decimal places in step 1. In this case, we have two decimal places, so the denominator will be 10 raised to the power of 2, which is 100.

Step 4: Simplify the fraction, if possible. In this case, 75/100 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 25. Dividing 75 by 25 gives us 3, and dividing 100 by 25 gives us 4. Therefore, the simplified fraction is 3/4.

Therefore, the fractional notation for 75.42 is 3/4.