Absolutely! Cross-multiplication is a great way to understand ratios and proportions in Year 10 Mathematics. It makes solving equations with fractions easier, so you can see how different amounts relate to each other.
When we talk about ratios, we usually write them like this: ( a:b ).
For example, if you have a ratio of 2:3, it means that for every 2 parts of one thing, there are 3 parts of another thing.
Now, let’s say you have a proportion like this: ( \frac{2}{3} = \frac{x}{12} ).
You can find out what ( x ) is by using cross-multiplication:
Cross-Multiply:
So, you get:
which means
Solve for ( x ):
This gives you:
Cross-multiplication helps you find unknown values and also helps you understand how ratios work together. It's a handy way to make sense of math!
Absolutely! Cross-multiplication is a great way to understand ratios and proportions in Year 10 Mathematics. It makes solving equations with fractions easier, so you can see how different amounts relate to each other.
When we talk about ratios, we usually write them like this: ( a:b ).
For example, if you have a ratio of 2:3, it means that for every 2 parts of one thing, there are 3 parts of another thing.
Now, let’s say you have a proportion like this: ( \frac{2}{3} = \frac{x}{12} ).
You can find out what ( x ) is by using cross-multiplication:
Cross-Multiply:
So, you get:
which means
Solve for ( x ):
This gives you:
Cross-multiplication helps you find unknown values and also helps you understand how ratios work together. It's a handy way to make sense of math!