evaluate 2/3 divided by 2, simplify 2 exponent 9 divided by 2 exponent 3, evaluate 7/5 minus 6/5, express 0.68 as a fraction in its lowest form
(2/3) / 2 = 2/3 * 1/2 = 2/6 = 1/3.
2^9 / 2^3 = 2^6, I subtracted the exponents.
7/5 - 6/5 = 1/5.
0.68 = 68/100 = 17/25.
To evaluate 2/3 divided by 2:
Step 1: Recall that dividing by a number is the same as multiplying by its reciprocal. The reciprocal of 2 is 1/2.
Step 2: Multiply 2/3 by the reciprocal of 2:
2/3 * 1/2 = 2/6
Step 3: Simplify the resulting fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2 in this case:
2/6 = 1/3
Therefore, 2/3 divided by 2 is equal to 1/3.
To simplify 2^9 divided by 2^3:
Step 1: Subtract the exponent in the denominator from the exponent in the numerator:
9 - 3 = 6
Step 2: Rewrite the expression with the simplified exponent:
2^6
Therefore, 2^9 divided by 2^3 simplifies to 2^6.
To evaluate 7/5 minus 6/5:
Step 1: Both fractions have the same denominator, so you can directly subtract their numerators:
7/5 - 6/5 = (7 - 6)/5 = 1/5
Therefore, 7/5 minus 6/5 equals 1/5.
To express 0.68 as a fraction in its lowest form:
Step 1: The number 0.68 can be written as 68/100, since 0.68 is equal to 68 hundredths.
Step 2: Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 4 in this case:
68/100 ÷ 4/4 = 17/25
Therefore, 0.68 expressed as a fraction in its lowest form is 17/25.