By what number should 7 2 3 be multiplied to get 6 1 2 ?

Given, By what number should 7 2 3 be multiplied to get 6 1 2 ? First let us convert given mixed fractions into improper fractions. ⇒ 7 2 3 = 3 × 7 + 2 3 = 23 3 and ⇒ 6 1 2 = 6 × 2 + 1 2 = 13 2 . Let us consider a number be x that is to be multiplied with 23 3 to get 13 2 . ⇒ 23 3 × x = 13 2 ⇒ 23 × x 3 = 13 2 ⇒ 2 23 × x = 13 × 3 ⇒ 46 x = 39 ⇒ x = 39 46 Hence, 39 46 is to be multiplied with 7 2 3 to get 6 1 2 .

The area of a rectangular garden is 25 1 4 m 2 . If the length of the garden is 1313 cm , find its breadth.

Given, Area of rectangular garden is 25 1 4 m 2 . The length of the garden is 1313 cm . Let us convert the given mixed fraction into an improper fraction. Area of rectangular garden = 25 1 4 = 25 × 4 + 1 4 = 101 4 m 2 Convert length from cm to m . Length is 1313 100 m = 13 . 13 m . Let us consider the breadth of the garden as x . We know that the area of the rectangular garden is Area = length × breadth ⇒ 101 4 = 13 . 13 × x ⇒ 101 = 4 13 . 13 × x ⇒ 52 . 52 x = 101 ⇒ x = 101 52 . 52 ⇒ x = 10100 5252 ⇒ x = 25 13 This improper fraction is converted into mixed fraction. Hence, the breadth of the garden is 1 12 13 m .