Find the value of the following. 1 5 + 2 1 2

From the given, 1 5 + 2 1 2 We know that, First, we need to convert the given mixed fraction into an improper fraction 2 1 2 = 5 2 Check the denominators of the fractions. Make the denominators of the fractions the same, by finding the L.C.M of denominators and rationalising them. Add the numerators of the fractions, keeping the denominator common. Simplify the fraction to get the final sum. ⇒ 1 5 + 5 2 L.C.M of 5 , 2 = 10 ⇒ 2 + 5 10 = 7 10 Hence, the sum of the given is 7 10 .

Find the value of the following. 3 1 2 - 4 7

From the given, 3 1 2 - 4 7 We know that, First, we need to convert the given mixed fraction into an improper fraction 3 1 2 = 7 2 Check the denominators of the fractions. Make the denominators of the fractions the same, by finding the L.C.M of denominators and rationalising them. Subtract the numerators of the fractions, keeping the denominator common. Simplify the fraction to get the final answer. ⇒ 7 2 - 4 7 L.C.M of 7 , 2 = 14 ⇒ 49 - 8 14 ⇒ 41 14 = 2 13 14 Hence, the difference of the given is 2 13 14 .

Find the value of the following: 11 × 4 2 3

Given, 11 × 4 2 3 Multiplying a mixed fractional number by a whole number Step 1: Convert the mixed fraction into an improper fraction. Step 2: Rewrite the whole number as a fraction with the denominator 1 . Step 3: Multiply two fractions by multiplying the numerators and denominators separately. Step 4: Convert it into simplified form if required. ⇒ 11 × 14 3 ⇒ 11 1 × 14 3 ⇒ 154 3 ⇒ 51 1 3 Hence, the required answer is 51 1 3 .