
(4 13/16+8 7/16)-5 7/16


Ответы на вопрос




Ответ:
413/16=25+87=112/16=7/16=0(ост 7)



To calculate the expression (4 13/16 + 8 7/16) - 5 7/16, you can follow these steps:
Step 1: Add the two mixed numbers (4 13/16 and 8 7/16):
4 13/16 + 8 7/16 = (4 + 8) + (13/16 + 7/16) = 12 + 20/16 = 12 + 5/4
Now, convert 5/4 to an improper fraction:
5/4 = (5 * 1) / (4 * 1) = 5/4
Step 2: Subtract the second mixed number (5 7/16) from the result obtained in Step 1:
(12 + 5/4) - 5 7/16
To subtract a mixed number, you can convert it to an improper fraction first:
5 7/16 = (5 * 16 + 7) / 16 = 87/16
Now, subtract the two fractions:
(12 + 5/4) - (87/16)
To subtract fractions with different denominators, you need to find a common denominator, which in this case is 16:
(48/4 + 5/4) - (87/16)
Now, combine the fractions with the common denominator:
(53/4) - (87/16)
Step 3: Find a common denominator (which is 16) for both fractions and then subtract:
(53/4) - (87/16)
To have a common denominator, multiply the first fraction's numerator and denominator by 4 (to make it 16):
(53/4 * 4/4) - (87/16)
Now, both fractions have a common denominator of 16:
(212/16) - (87/16)
Step 4: Subtract the numerators:
(212 - 87)/16 = 125/16
So, the result of the expression (4 13/16 + 8 7/16) - 5 7/16 is 125/16, which can also be expressed as a mixed number:
125/16 = 7 13/16
Therefore, the final answer is 7 13/16.


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