1 3/8 - 5/8 - 3 1/8 with the remainders
To subtract mixed numbers with remainders, start by subtracting the whole numbers and the fractions separately. Then, subtract the remainders if necessary.
1 3/8 - 5/8 - 3 1/8
= (1 - 3 - 3) + (3/8 - 5/8 - 1/8)
= -5 + (3/8 - 5/8 - 1/8)
= -5 + (-3/8)
= -40/8 + (-3/8)
= (-40 - 3)/8
= -43/8
So, 1 3/8 - 5/8 - 3 1/8 with the remainders equals -43/8.
4/5 + 7/15 + 3/5
Answer choices
1 2/5
7/10
1 13/15
14/15
To add the fractions, first find a common denominator. In this case, the common denominator is 15.
4/5 + 7/15 + 3/5
= (12/15) + (7/15) + (9/15)
= 12/15 + 7/15 + 9/15
= (12 + 7 + 9)/15
= 28/15
Since the numerator is greater than the denominator, we can simplify the fraction by dividing the numerator by the denominator and finding the remainder:
28 ÷ 15 = 1 remainder 13
So the simplified fraction is 1 13/15.
Therefore, the answer is 1 13/15.
-14 times (-32)
To find the product of -14 and -32, multiply the two numbers together:
-14 × -32 = 448
Therefore, -14 times -32 equals 448.
6/7 times 42.21
To find the product of 6/7 and 42.21, multiply the fraction by the decimal:
6/7 × 42.21
To multiply a fraction by a decimal, multiply the numerators together and multiply the denominators together:
(6 × 42.21) / (7 × 1)
= 253.26 / 7
= 36.18
Therefore, 6/7 times 42.21 equals 36.18.
-3/8 times 1 1/2
To find the product of -3/8 and 1 1/2, first convert 1 1/2 to an improper fraction:
1 1/2 = 3/2
Now, multiply -3/8 by 3/2:
(-3/8) × (3/2)
To multiply fractions, multiply the numerators together and multiply the denominators together:
((-3) × 3) / (8 × 2)
= -9/16
Therefore, -3/8 times 1 1/2 equals -9/16.
To subtract fractions with remainders, we first need to convert the mixed numbers into improper fractions.
1 3/8 can be written as (8*1 + 3)/8 = 11/8
3 1/8 can be written as (8*3 + 1)/8 = 25/8
Now we can perform the subtraction:
1 3/8 - 5/8 - 3 1/8
= 11/8 - 5/8 - 25/8
To subtract fractions, we need a common denominator. In this case, our denominator is already 8, so we can proceed with the subtraction.
= (11 - 5 - 25)/8
Simplifying the numerator further:
= -19/8
Therefore, the result of the subtraction is -19/8.