Your water bottle contains 5 1 4 litres of water. You drink 1 3 7 litres every hour. DO you have enough water to last for 4 hours ?

Given, Capacity of water bottle = 5 1 4 litres = 21 4 litres You drink 1 3 7 litres every hour. Total water consumption in 4 hours = 4 × 1 3 7 = 4 × 10 7 = 40 7 litres Compare the total water consumption with the amount of water in your water bottle. If the total water consumption is less than or equal to the amount of water in your water bottle, then you have enough water to last for the given duration. Since, 40 7 > 21 4 Therefore, you don't have enough water to last for 4 hours

Simplify: 1 6 × 18 64 × 16 20

Given, 1 6 × 18 64 × 16 20 The product of proper fractions is given by ( product of numerators ) ( product of denominators ) ⇒ 1 6 × 18 64 × 16 20 = 1 × 18 × 16 6 × 64 × 20 = 288 7680 = 288 ÷ 96 7680 ÷ 96 = 3 80 Hence, the required answer is 3 80 .

What is the reciprocal of 2 9 ÷ 1 2 ?

Given: 2 9 ÷ 1 2 The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed. ⇒ 2 9 ÷ 1 2 = 2 9 × 2 = 4 9 A rational number q p is said to be the reciprocal (or) multiplicative inverse of a rational number p q , if p q × q p = 1 The reciprocal of a rational number a is written as 1 a . Therefore, Reciprocal of 4 9 is 9 4 , because 4 9 × 9 4 = 1 Hence, the answer is 9 4 = 2 1 4 .

How much is 3 8 of a day?

To determine how much 3 8 of a day is, we need to consider that a day consists of 24 hours. To find 3 8 of a day, we can multiply the fraction by the total number of hours in a day: 3 8 × 24 = 3 × 3 = 9 hours Therefore, 3 8 of a day = 9 hours .