Add 2/9 and 7/9. 2 / 9 + 7 / 9 is 1 / 1. Steps for adding fractions. Add the two fractions: 2 / 9 + 7 / 9 = 2 + 7 / 9 = 9 / 9; 9/9 simplified gives 1 / 1; So, 2/9 + 7/9 = 1/1; MathStep (Works offline) Download our mobile app and learn to work with fractions in your own time: Android and iPhone/ iPad. An fascinating look at mathematics.Watch more free videos and get other resources by Ray Comfort and Living Waters at http://www.LivingWaters.com.
By Michael Hartley
Elsewhere on this site, I gave some general times tables tips. Here, we'llhave a closer look at the nine times tables. You can use this page to show your kids the hidden patterns in the nine times tables, and make it easier for them to learn. Keep in mind that these patterns will mean infinitely more to your children if you can somehow coax them to realize the rule for themselves, rather than just pointing it out to them.
Let's have a look at the nine times table. By the way, you might like to download the printable nine times table chart on this site, and stick it to the wall of your classroom, or your kid's bedroom!| 9 | x | 1 | = | 9 |
| 9 | x | 2 | = | 18 |
| 9 | x | 3 | = | 27 |
| 9 | x | 4 | = | 36 |
| 9 | x | 5 | = | 45 |
| 9 | x | 6 | = | 54 |
| 9 | x | 7 | = | 63 |
| 9 | x | 8 | = | 72 |
| 9 | x | 9 | = | 81 |
| 9 | x | 10 | = | 90 |
| 9 | x | 11 | = | 99 |
| 9 | x | 12 | = | 108 |
| 9 | x | 1 | = | 09 |
| 9 | x | 2 | = | 18 |
| 9 | x | 3 | = | 27 |
| 9 | x | 4 | = | 36 |
| 9 | x | 5 | = | 45 |
| 9 | x | 6 | = | 54 |
| 9 | x | 7 | = | 63 |
| 9 | x | 8 | = | 72 |
| 9 | x | 9 | = | 81 |
| 9 | x | 10 | = | 90 |
| 9 | x | 11 | = | 99 |
| 9 | x | 12 | = | 108 |
That's right! At least up to nine times ten, you have this rule :
Now that's one rule that should make things easier to remember. Here's why it works.
Nine times something is ten-minus-one times something. According to the rule of arithmetic called the 'distributive law', ten-minus-one times something is just ten-times-something minus one-times-something. For example, 9 x 7 equals (10-1) x 7, which is just 10 x 7 - 1 x 7. To do this subtraction, we need to borrow one from the tens digit of 10 x something, so we get the rule given above.
Well, that might help remember the tens digit, but what about the ones digit?
Ask your child to add up the digits in the results. If they get a number with more than one digit, do it again. They should end up with something like this table.| 9 | x | 1 | = | 9, | |
| 9 | x | 2 | = | 18, | 1+8=9 |
| 9 | x | 3 | = | 27, | 2+7=9 |
| 9 | x | 4 | = | 36, | 3+6=9 |
| 9 | x | 5 | = | 45, | 4+5=9 |
| 9 | x | 6 | = | 54, | 5+4=9 |
| 9 | x | 7 | = | 63, | 6+3=9 |
| 9 | x | 8 | = | 72, | 7+2=9 |
| 9 | x | 9 | = | 81, | 8+1=9 |
| 9 | x | 10 | = | 90, | 9+0=9 |
| 9 | x | 11 | = | 99, | 9+9=18, 1+8=9 |
| 9 | x | 12 | = | 108, | 1+0+8=9 |
Note that every single result leads to nine!. In fact, this pattern continues...
- 9 x 13 = 117, 1+1+7=9
- 9 x 14 = 126, 1+2+6=9
- 9 x 15 = 135, 1+3+5=9
- 9 x 17 = 153, 1+5+3=9
- 9 x 21 = 189, 1+8+9=18, 1+8=9
- 9 x 111 = 999, 9+9+9=27, 2+7=9
- 9 x 42033 = 378297, 3+7+8+2+9+7=36, 3+6=9
- 9 x 7389359345798... Whoa there! Let's not go overboard here (although, the pattern would still work)
Your child can use these two patterns to help remember the nine times tables, at least up to 9x10. Just imagine a child called upon for an on-the-spot test... or playing one of the Times Tables Games elsewhere on this site...
- Teacher : Johnny? Stand up! What is nine times six?
- John, thinking : Nine times six, nine times six... ummm.... what is it?
- Teacher : Johnny? Nine times six! Do you know?
- John : Let's see, the tens digit... ummm... one less than six is five! It must be fifty something.... Ummm....
- Teacher : Johnny?!?
- John : Umm, fifty ... ahhh...
- Teacher : Yes, Johnny? Fifty-what?
- John : Now five plus what equals nine? Let's see... you have five... then six, seven, eight, ...
- Teacher : Johnny?
- John : Umm, fifty-four!
- Teacher : Well done! Nine times six equals fifty-four! See class, what a good memory Johnny has?
One useful trick I'd like to point out - because 9 is 10-1, 9 times any number can be worked out by subtracting the number from 10 times the number. For example, 9 times 8 is 80-8, or 72. Or 9 times 123 is 1230 minus 123, or 1107. Similar tricks work for the 99 times table, or the 999 times table. Since (for example), 99 = 100-1, therefore 99x365 = 36500-365 = 36135... Thanks to 'Frostie' for reminding me to include this tip!
Want a 'rule-of-thumb' for working out 9x1 to 9x10? The video below shows you how to work out these facts from the 9 times tables on your fingers...
One last amazing fact about the nine times table. If your child has started to learn multiplication of larger numbers, you might pose them this problem to work out. Trust me, it's not just another sum - the answer is surprisingly nice!
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Use this calculator to find equivalent fractions to any given input. You may have reached us looking for answers to questions like: What fraction is equivalent to 7/9 or How to find the equivalent fractions for: 7/9.?
How do you find equivalent fractions?
Two frations are equivalent when they have the same value when written in lowest terms. The fraction 14/18 is equal to 7/9 when reduced to lowest terms. To find equivalent fractions, just multiply the numerator and denominator of that reduced fraction (7/9) by any interger number, ie, multiply by 2, 3, 10, 30 ...
- 14/18 is equivalent to 7/9 because 7 x 2 = 14 and 9 x 2 = 18
- 21/27 is equivalent to 7/9 because 7 x 3 = 21 and 9 x 3 = 27
- 28/36 is equivalent to 7/9 because 7 x 3 = 28 and 9 x 3 = 36
and so on ...Equivalent fractions may look different, but when you reduce then to the lowest terms you will get the same value. If any fraction is not reduced to lowest terms, you can get other equivalent fractions just dividing both numerator and denominator by the same number.
How to check if two fractions are equivalent?
Just use this Rule:
Two fractions are equivalent if we
1) multiply the numerator of fraction 1 by the denominator of the fraction 2
and get the same value when we
2) multiply the denominator of fraction 1 by the numerator of the fraction 2.
Amazing 2 9 7 Equals 1/3
This process is called cross-multiplication.
Here are some examples:
- 14/18 is equivalent to 7/9 because 14 x 9 = 18 x 7 = 126
- 21/27 is equivalent to 7/9 because 21 x 9 = 27 x 7 = 189
- 28/36 is equivalent to 7/9 because 28 x 9 = 36 x 7 = 252
2/9 As A Decimal
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See also:
Amazing 2 9 7 Equals What
And also:
References:
2.9 Dragon Ball
Equivalent Fractions - Examples