Answer:
Step-by-step explanation:
Answer
Answer:
Step-by-steplanation:
Add: 1
2
+ 2
5
= 1 · 5
2 · 5
+ 2 · 2
5 · 2
= 5
10
+ 4
10
= 5 + 4
10
= 9
10
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(2, 5) = 10. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 5 = 10. In the next intermediate step the fraction result cannot be further simplified by cancelling.
In words - one half plus two fifths = nine tenths.
Conversion a mixed number 6 2
7
to a improper fraction: 6 2/7 = 6 2
7
= 6 · 7 + 2
7
= 42 + 2
7
= 44
7
To find new numerator:
a) Multiply the whole number 6 by the denominator 7. Whole number 6 equally 6 * 7
7
= 42
7
b) Add the answer from previous step 42 to the numerator 2. New numerator is 42 + 2 = 44
c) Write previous answer (new numerator 44) over the denominator 7.
Six and two sevenths is forty-four sevenths
Add: the result of step No. 1 + 44
7
= 9
10
+ 44
7
= 9 · 7
10 · 7
+ 44 · 10
7 · 10
= 63
70
+ 440
70
= 63 + 440
70
= 503
70
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(10, 7) = 70. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 10 × 7 = 70. In the next intermediate step the fraction result cannot be further simplified by cancelling.
In words - nine tenths plus forty-four sevenths = five hundred three seventieths.
20/100 x 8000 = 1600
1600 x 3 = 4800
8000 - 4800 = 3200
The motorcycle is worth $3,200 after three years.
Answer:
480 Litres
Step-by-step explanation:
Percentage increase = 20% × 400
New value =
400 + Percentage increase =
400 + (20% × 400) =
400 + 20% × 400 =
(1 + 20%) × 400 =
(100% + 20%) × 400 =
120% × 400 =
120 ÷ 100 × 400 =
120 × 400 ÷ 100 =
48,000 ÷ 100 =
480
Answer:
Larger number = 32
Step-by-step explanation:
Smaller number = x
Larger number = y
y - x = 8 -----------(I)
3y = 4x ---------------(II)
3y/4 = x
Plug in x = 3y/4 in equation (I)
y = 8*4
y = 32
Plug in y = 32 in equation (II)
3y = 4x
3*32 = 4x
4x = 3*32
x = 
x = 3 *8
x = 24
