Use the average method to check if 5 16 exists between 1 4 and 3 8

Rational number is considered as a number in mathematics that can be significantly expressed as a fraction or the quotient between a numerator and a denominator. It is the fraction between two integers. Given to find rational numbers between 1 4 and 3 8 . Rational number between any two rational numbers a and b is given by a + b 2 . Rational number between 1 4 and 3 8 = 1 2 1 4 + 3 8 = 1 2 2 + 3 8 = 1 2 × 5 8 = 5 16 Thus, the given statement is true

Write nine rational number between x and x , where x = - 6 11

Rational number is considered as a number in mathematics that can be significantly expressed as a fraction or the quotient between a numerator and a denominator. It is the fraction between two integers. Absolute value describes the distance from zero that a number is on the number line, without considering direction. The absolute value of a number is never negative. So, x = - 6 11 = 6 11 We have to find the rational number between - 6 11 and 6 11 . Multiply numerator and denominator of both the rational number by 5 - 6 × 5 11 × 5 and 6 × 5 11 × 5 - 30 55 and 30 55 Nine rational number between - 30 55 and 30 55 is - 29 55 , - 28 55 , - 20 55 , - 19 55 , - 17 55 , - 16 55 , 12 55 , 25 55 and 22 55 .

Radhika embroiders a saree in 5 1 2 days . How many days will it take for her to embroider four such sarees?

Radhika embroiders a saree in 5 1 2 . Number of days required to embroider four such sarees is = 4 × 5 1 2 = 4 × 11 2 = 22 Therefore, number of days required to embroider sarees is 22 days.

A cyclist covers a distance of 15 3 4 k m in a day. How much distance will be covered in 5 1 7 days?

A cyclist covers a distance of 15 3 4 k m in a day. Distance covered in 5 1 7 days is = Distance covered in one day × 5 1 7 = 15 3 4 × 5 1 7 = 63 4 × 36 7 = 81 Therefore distance covered in 5 1 7 days is 81 k m .

A train at a uniform speed cover a distance of 240 k m in 2 1 2 hours. Find the speed of the train and also the distance travelled by train in 6 hours.

Distance covered by train in 2 1 2 hour is 240 k m . Distance covered by train in 6 hours = 6 × 240 ÷ 2 1 2 = 1440 ÷ 5 2 = 1440 × 2 5 = 576 Speed of train is = D i s tan c e t i m e = 576 6 = 96 Thus, speed of the train is 96 k m / h r and distance covered is 576 k m

Ayush takes half an hour to reach his school if he walks at a uniform speed of 3 1 5 k m / h . Find the distance covered by him.

Speed of Ayush is 3 1 5 k m / h Time taken by Ayush is 1 2 hour. Distance covered by Ayush is = s p e e d × t i m e = 3 1 5 × 1 2 = 16 5 × 1 2 = 8 5 = 1 . 6 Thus, the distance covered by Ayush is 1 . 6 k m .