Verify -2/11×-1/4-(-1/3)=-2/11×[-1/4-(-1/3)]
Answers
Answer:
Conversion a mixed number 3 1/
8
to a improper fraction: 3 1/8 = 3 1/
8
= 3 · 8 + 1/
8
= 24 + 1/
8
= 25/
8
To find new numerator:
a) Multiply the whole number 3 by the denominator 8. Whole number 3 equally 3 * 8/
8
= 24/
8
b) Add the answer from previous step 24 to the numerator 1. New numerator is 24 + 1 = 25
c) Write a previous answer (new numerator 25) over the denominator 8.
Three and one eighth is twenty-five eighths
Conversion a mixed number 2 3/
8
to a improper fraction: 2 3/8 = 2 3/
8
= 2 · 8 + 3/
8
= 16 + 3/
8
= 19/
8
To find new numerator:
a) Multiply the whole number 2 by the denominator 8. Whole number 2 equally 2 * 8/
8
= 16/
8
b) Add the answer from previous step 16 to the numerator 3. New numerator is 16 + 3 = 19
c) Write a previous answer (new numerator 19) over the denominator 8.
Two and three eighths is nineteen eighths
Add: 25/
8
+ 19/
8
= 25 + 19/
8
= 44/
8
= 4 · 11/
4 · 2
= 11/
2
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(8, 8) = 8. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 × 8 = 64. In the next intermediate step, , cancel by a common factor of 4 gives 11/
2
.
In words - twenty-five eighths plus nineteen eighths = eleven halfs.
Conversion a mixed number 1 1/
4
to a improper fraction: 1 1/4 = 1 1/
4
= 1 · 4 + 1/
4
= 4 + 1/
4
= 5/
4
To find new numerator:
a) Multiply the whole number 1 by the denominator 4. Whole number 1 equally 1 * 4/
4
= 4/
4
b) Add the answer from previous step 4 to the numerator 1. New numerator is 4 + 1 = 5
c) Write a previous answer (new numerator 5) over the denominator 4.
One and one quarter is five quarters
Subtract: the result of step No. 3 - 5/
4
= 11/
2
- 5/
4
= 11 · 2/
2 · 2
- 5/
4
= 22/
4
- 5/
4
= 22 - 5/
4
= 17/
4
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(2, 4) = 4. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 4 = 8. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - eleven halfs minus five quarters = seventeen quarters.
Rules for expressions with fractions:
Fractions - use the slash “/” between the numerator and denominator, i.e., for five-hundredths, enter 5/100. If you are using mixed numbers, be sure to leave a single space between the whole and fraction part.
The slash separates the numerator (number above a fraction line) and denominator (number below).
Mixed numerals (mixed fractions or mixed numbers) write as non-zero integer separated by one space and fraction i.e., 1 2/3 (having the same sign). An example of a negative mixed fraction: -5 1/2.
Because slash is both signs for fraction line and division, we recommended use colon (:) as the operator of division fractions i.e., 1/2 : 3.
Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.e. 1.45.
The colon : and slash / is the symbol of division. Can be used to divide mixed numbers 1 2/3 : 4 3/8 or can be used for write complex fractions i.e. 1/2 : 1/3.
An asterisk * or × is the symbol for multiplication.
Plus + is addition, minus sign - is subtraction and ()[] is mathematical parentheses.
The exponentiation/power symbol is ^ - for example: (7/8-4/5)^2 = (7/8-4/5)2