2/5 + 9/10 as a mixed number
To add the fractions 2/5 and 9/10, we need to find a common denominator. In this case, the smallest common multiple of 5 and 10 is 10.
Next, we need to rewrite each fraction with the common denominator of 10:
2/5 becomes 4/10 (multiply the numerator and denominator of 2/5 by 2).
9/10 remains as it is.
Now, we add the fractions:
4/10 + 9/10 = (4+9)/10 = 13/10
To write this fraction as a mixed number, we divide the numerator (13) by the denominator (10):
13 ÷ 10 = 1 remainder 3
Thus, the mixed number is 1 3/10.
1/8 divided by 3/8 in simplest form
To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction:
1/8 ÷ 3/8 = 1/8 * 8/3
Now, we can multiply the numerators and denominators:
(1/8) * (8/3) = (1 * 8) / (8 * 3) = 8/24
This fraction can be simplified by dividing the numerator and denominator by their greatest common divisor, which is 8:
8/24 ÷ 8/24 = (8 ÷ 8) / (24 ÷ 8) = 1/3
Therefore, 1/8 ÷ 3/8 in simplest form is 1/3.
1/6 × 2/5 in simplest form
To multiply fractions, we simply multiply the numerators together and the denominators together:
(1/6) * (2/5) = (1 * 2) / (6 * 5) = 2/30
This fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2:
2/30 ÷ 2/30 = (2 ÷ 2) / (30 ÷ 2) = 1/15
Therefore, 1/6 × 2/5 in simplest form is 1/15.
Rewrite the following expressions using exponents.
3 × 3 × 3 × 3 × 3 × 3 = ?^?
3 × 3 × 3 × 3 × 3 × 3 can be written using exponents as 3^6.
Which expression is equivalent to the exponential expression below?
(-3)^4
1. -(3 × 3 × 3 × 3)
2. -3 × -3 × -3 × -3
3. Another answer