Find the difference. Write your answer in the simplest form. 9/10 – 4/10 please help ASAP!
The Correct Answer and Explanation is:
Answer:910−410=510=12\frac{9}{10} – \frac{4}{10} = \frac{5}{10} = \frac{1}{2}109−104=105=21
So, the simplest form of the answer is ½.
Explanation
To solve the problem 910−410\frac{9}{10} – \frac{4}{10}109−104, you are asked to subtract two fractions that have the same denominator. The denominator is the bottom number of a fraction, and it tells us how many equal parts the whole is divided into. In this case, both fractions have 10 as the denominator, which means each whole is divided into 10 equal parts.
When two fractions have the same denominator, you simply subtract the numerators and keep the same denominator. The numerator is the top number of a fraction and shows how many parts we are working with.
Let’s look at the subtraction:
- The first fraction is 910\frac{9}{10}109, meaning 9 parts out of 10
- The second fraction is 410\frac{4}{10}104, meaning 4 parts out of 10
Now subtract the numerators:9−4=59 – 4 = 59−4=5
Then write the result over the same denominator:510\frac{5}{10}105
This fraction is correct, but it is not in its simplest form. To simplify a fraction, we look for the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 5 and 10 is 5. We divide both the numerator and the denominator by 5:5÷510÷5=12\frac{5 \div 5}{10 \div 5} = \frac{1}{2}10÷55÷5=21
So, the simplest form of 510\frac{5}{10}105 is 12\frac{1}{2}21.
That means when you subtract 4 tenths from 9 tenths, you are left with 5 tenths, which simplifies to one half. Simplifying fractions helps make numbers easier to work with and understand.
