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### Unit 3: Lesson 2

Fractions of shapes

# Halves and fourths

When a whole is divided into equal size pieces, the pieces are fractions of the whole. If the whole is divided into 2 equal sized pieces, each piece is ​one half of the whole. If the whole is divided into 4 equal sized pieces, each piece is one fourth of the whole.

## Want to join the conversation?

• Are halves two equal parts or it just need to be two parts?
• In maths, it would be two perfectly equal halves, but it really depends on context.

In most case, you would think that halves (and fourths) are equal, like you would think that a half of a pizza is... a half, not some random dusts left over. That random dusts and the part that have been eaten are two parts, but they are not equal, right?

Moreover, some shapes cannot be divided into two halves. They are asymmetric shapes, which do not contain a line of symmetry. A circle, yes, there are halves and quarters. However, a hand, I don't think so.
• do they have to be equal
• Yes all the parts should be equal, and also sum of all the parts should be equal to original diagram.
• Is quarters the same as money quarters?
• Yes they are similar. A quarter is a quarter of a dollar which is \$.25
• If a shape is irregular can you still split it in half?
• Every shape, no matter how complicated it is can be split in any number of parts, it just gets harder as shapes get more complicated (a lot harder).
• So the critical part is 'equal'?
• Yes, the parts need to be equal in order to represent fractions properly. For example, if the whole is divided into 4 unequal parts, some parts will be larger than one-fourth and some will be smaller than one-fourth.

Have a blessed, wonderful day!
• Hey! A half is actually quite simple. When you divide a number by 2 you can also say you are putting it into 2 halves. Just remember you can only evenly half even numbers. An even number is any number that ends with 2, 4, 6, 8 or 0.
Example: half of 6 = ?. In this problem, you need to half the number 6 meaning you need to divide 6 by 2. Remember halves have to be 2 equal parts. 6 divided by 2 is 3. the 2 halves of 6 are 3 and 3 and they are equal parts so now you know that is the correct answer. Also, you can see that this is the correct answer because 3 + 3 is 6 so half of 6 is three.
Hope this helps!
• I am not able to achieve a 100% in 1st grade geometry despite having completed the quiz and having watched the video. Does anyone know why?
• To achive 100% in the first grade section, you must achive all of the masterysubjects. If it is too hard, watch a video, but you do not need to watch the videos for the 100%.
• Are fourths as big as a third because, I normally see a third like a fourth