Question

Rewrite these expressions using words: 3/4x(2 2/5-5/6)

Answer 1

The algebraic expression 3/4x(2 2/5-5/6) can be expressed in words and involves several steps including converting a mixed number to an improper fraction, finding a common denominator, subtracting fractions, and then multiplying by three-fourths.

Step-by-step explanation:

The expression 3/4x(2 2/5-5/6) rewritten in words is: 'three-fourths times the difference between two and two-fifths and five-sixths.' The procedure for solving this expression involves subtracting five-sixths from two and two-fifths first, which requires the conversion of the mixed number to an improper fraction. Then, the common denominator is found for the fractions, subtraction is performed, and finally, the result is multiplied by three-fourths.

For instance, to convert two and two-fifths into an improper fraction, we multiply the whole number 2 by the denominator 5 and add the numerator 2 which gives us: 2 x 5 + 2 = 12/5. Next, we find a common denominator for 12/5 and 5/6, which would be 30. With the fractions having a common denominator, we then subtract the numerators and multiply the resultant fraction by three-fourths.

Answer 2

Step by atep explaination :

• 
  `(3)/(4)` means three₋fourth

• 
  `2(2)/(5)` means two and two₋fifths

• 
  `(5)/(6)` means five₋sixth

An algebraic expression in words can be written as

A numbers three₋fourth times the subtractions of five₋sixths from two and two₋fifths