give four rationak numbers equivalent to 1. -2/7 step by step please
Answers
Answer:
-14/30, -28/60, -56/120, -21/45
Step-by-step explanation:
The given number is a rational number. For the given number multiplying with any number with both numerator and denominator gives equivalent rational numbers. Thus, multiplying the numerator and denominator by 4 different numbers will give four equivalent numbers.
Complete step-by-step answer:
Rational number: A rational number is a number that can be expressed as fraction p/q of two integers, a numerator p and a non zero denominator q.
The decimal expansion of a rational number always either terminates after a finite number of digits or begins to repeat the same finite sequence of digits over and over. Moreover, any repeating or terminating decimal represents a rational number.
A real number that is not rational is called an irrational number.
Equivalent rational numbers: To obtain an equivalent rational number of the given rational number we have to multiply the numerator and denominator of a given rational number by the same nonzero number.
If abab is a rational number and m is a non-zero integer then a×mb×ma×mb×m is a rational number equivalent to abab.
Given number is 5−35−3.
Multiplying with 2 in both numerator and denominator gives the following equivalent rational number as,
⇒⇒5×2−3×2=10−65×2−3×2=10−6
Multiplying with 3 in both numerator and denominator gives the following equivalent rational number as
⇒⇒ 5×3−3×3=15−95×3−3×3=15−9
Multiplying with 4 in both numerator and denominator gives the following equivalent rational number as
⇒⇒ 5×4−3×4=20−125×4−3×4=20−12
Multiplying with 0.5 in both numerator and denominator gives the following equivalent rational number as
⇒⇒ 5×0.5−3×0.5=2.5−1.55×0.5−3×0.5=2.5−1.5
Therefore the four numbers are 10−6,15−9,20−12,2.5−1.510−6,15−9,20−12,2.5−1.5.
Note: The value in the denominator should be non zero. We can also multiply with negative numbers and can get equivalent rational numbers. This is a direct question which can be solved by multiplying numerator and denominator with the same number gives equivalent rational numbers.
hope it's helpful to you!
Step-by-step explanation:
2/4
4/8
16/32
20/40
Step-by