The number is 35
If [tex]\frac{2}{5}[/tex] of a number is 14, then we will perform a function of cross multiplication in order to determine the missing number.
Further Explanation
- Let the missing number = y
- To perform a cross multiplication, firstly, we multiply the numerator of first fraction by the denominator of the second fraction.
- Secondly, we multiply the denominator of the first fraction by the numerator of the second fraction. Then, the resulting values are divided by each other to get a final numerical value.
Therefore, the missing number (y) will the denominator of the second fraction i.e. [tex]\frac{14}{y}[/tex]. The first fraction is [tex]\frac{2}{5}[/tex].
Thus,
[tex]\frac{2}{5}[/tex] of [tex]\frac{14}{y}[/tex]
[tex]\frac{2}{5}[/tex] = [tex]\frac{14}{y}[/tex]
(2 x y) = (5 x 14)
(2y) = (70)
2y = 70
Since we are looking for value of y, divide both sides by the value beside y
Thus,
[tex]\frac{2y}{2}[/tex] = [tex]\frac{70}{2}[/tex]
y = 35
Therefore, the missing number is 35
LEARN MORE:
- 2/5 of a number is 14. What's the number https://brainly.com/question/12161407
- fraction brainly.com/question/6201432
KEYWORDS:
- 2/5 of a number is 14
- fraction
- cross multiplication
- number
- denominator
- numerator
