Fraction addition and subtraction can be simplified

The addition and subtraction of fractions can be simplified, and it must be cut, but there are some unnecessary simple calculations, so you don't need to subtract, haven't the teacher taught it?

Simple calculation is a special kind of calculation, which uses the laws of operation and the basic properties of numbers, so as to make the calculation easy, so that a very complex formula becomes easy to calculate the number.

1. Addition commutative law: the position of two numbers is added and the sum is unchanged.

2. Addition associative law: add three numbers, first add the first two numbers, or add the last two numbers first, and then add with the third number, and the sum is unchanged.

3. Multiplicative commutative law: when two numbers are multiplied, the position and product of the exchange factor remain unchanged.

4. Multiplication and associative law: multiply three numbers, multiply the first two numbers, or multiply the last two numbers first, and then multiply with the third number, and their product remains unchanged.

5. Multiplicative distributive law: multiply two numbers by the same number, you can multiply the two additive numbers with this number respectively, and then add the two products, and the result remains the same. For example: (2+4) 5 2 5+4 56,

Nature of division: In division, the dividend and the divisor expand (or shrink) by the same multiple at the same time, and the quotient does not change. o divided by any number that is not o gives o.

Simple multiplication: multiplication of the multiplier, the multiplier at the end of the o, you can first multiply the front of the o, zero does not participate in the operation, a few zeros are falling, added at the end of the product.

6/11 + 11/15 + 5/11 - 6/15 (6/11 + 5/11) + (11/15 - 6/15) 1 + 1/3

1 and 1/3

Primitive = simple calculation of decimal addition and subtraction.

Hello, in the case of different denominators, you can find the common divisor between the denominators, and add and subtract the calendar fractions with the same denominators.

Fraction. That's enough for that.

Add or subtract from the same denominator, the denominator remains unchanged, and the numerator is added or subtracted. The heterodenominator is added and subtracted, and after the denominator is the same, the numerator is added and subtracted, and finally the denominator is reduced.

Final exams?

Which sentence pattern refers to single choice?

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There are some commonly used sentence patterns above, see if it helps.

Also, you don't have to be nervous about the exam, as long as you study enough, there will be no problem

Fractions with the same denominator are added.

1. Add the fraction with the denominator, the denominator remains the same, the numerator is added, and finally it is the simplest fraction.

Example 1: 2 9 + 5 9 = 2 + 5 9 = 7 9

Example 2: 1 8+3 8=1+3 8=4 8=1 2

The different denominator fractions are summed.

1. Add the fractions of different denominators, first pass the score, and then calculate it according to the addition of the fractions of the same denominator, and finally turn it into the simplest fraction.

Example 1: 3 4+5 7=21 28+20 28=21+20 28=41 28

Example 2: 5 24+1 8=5 24+3 24=5+3 24=8 24=1 3

Fractions are added and subtracted.

1. The subtraction of several fractions from a number is equal to the sum of the number subtracted from several fractions in a row.

Fraction subtraction. Subtract the fraction from the same denominator.

1. Subtract the fraction with the denominator, the denominator remains unchanged, the numerator is subtracted, and finally it is reduced to the simplest fraction.

Example 1: 5 9-1 9 = 5-1 9 (to get the simplest fraction).

Example 2: 3 4-1 4=3-1 4=2 4 (the number is reduced to the simplest fraction) = 1 2

The different denominator fractions are subtracted.

1. Subtract the fraction of the different denominator, first pass the fraction, and then calculate it according to the subtraction method of the fraction of the same denominator, and finally turn it into the simplest fraction.

Example 1: 7 8-1 4=7 8-2 8=7-2 8=5 8

Example 2: 8 15-1 5=8 15-3 15=8-3 15=5 15=1 3

The simple algorithm for addition and subtraction of fractions is as follows:

The same denominator fraction is added and subtracted, and the denominator remains unchanged, that is, the fractional unit remains unchanged, and the numerator is added and subtracted, and the offer score can be reduced. A simple algorithm for addition and subtraction is the vertical method. The basic principle is to add (or subtract) the digits on the same digit of two digits, and mark the carry (or debit) on the next digit until all the digits have been completed, and finally the result is obtained.

Here's a detailed explanation.

1.Steps of the vertical calculation method:

Align the two numbers vertically, the single digit, the ten digits, and the hundreds, and so on. Add (or subtract) bitwise from unit up, and write the result on the corresponding bit. If the result is greater than or equal to 10 (or less than zero) after adding (or subtracting), it is necessary to carry or debit.

Add the carry (or borrow) to the next digit and repeat the first two steps until you reach the highest position. The result is the sum or difference of the two numbers.

2.Calculation steps for addition:

Follow the vertical calculation method above. Note that every decimal one, that is, when a digit is added to be greater than or equal to 10, the value of the carry should be added to the next digit. If there are multiple digits added to the pants, you can add the numbers on each bit first, and then add the results to get the final result.

3.Calculation steps for subtraction:

It is also operated according to the vertical calculation method described above. When the subtraction on a digit is less than the subtraction, borrow 1 from the previous digit (i.e. borrow 10 from the previous digit), add the borrowed 1 to the subtraction, and subtract 1 from the next digit. If there are multiple digits subtracted, you can subtract the numbers on each bit first, and then subtract the results to get the final result.

4.Notes:

In the calculation process, it is necessary to observe the rules of carry and borrow to ensure the correctness of the results. If the result is a single digit after adding (or subtracting), it can be written directly on the corresponding digit without carrying (or borrowing). If the subtraction on a digit is equal to the subtracted number, the difference in that digit is 0.

With vertical calculations, the operation of addition and subtraction is simple and straightforward, and it is suitable for people of all ages.

Answer: 1 6 (5-2 3) = 1 6 (15 3-2 3) = 1 6 13 3 = 13 18

When we encounter this kind of problem, it is more troublesome to solve the problem according to the conventional idea, so let's take a look at the steps of solving the problem with the conventional idea:

From the above steps, it can be seen that not only is there a few more steps than the simple algorithm, but also involves multiple conversions, so it is more troublesome and time-consuming, and it is easier to make mistakes.

When we do a problem that involves two or more modular pins with fractions, the easiest thing is multiplication and division, and the hardest thing to calculate is addition and subtraction. If the denominator is the same, adding or subtracting between fractions is fairly simple.

If the denominator is different, then both or more fractions must be converted to a fraction with the same denominator before addition and subtraction can be performed.

Therefore, we need to do this kind of problem first to calculate the addition and subtraction inside the parentheses, and then to calculate the multiplication and division outside the parentheses.

It is necessary to choose a suitable simple algorithm according to the specific fraction formula, and the score calculation can be reduced to the required score.