Exercise 5.4 (length, time and money in fractions)

Exercise 5.4

1. Answer the following

(i) 3 Km 500 m = 3 1/2 Km

(ii) 25 Km 250 m = 25 ¼ Km

(iii) 17 Km 750 m = 17 ¾ Km

(iv) 35 Km 250 m = 35 ¼ Km

(v) 45 Km 750 m = 45 ¾ Km

2. Convert into Hours: [In fraction]

(i) 10 minutes = 10 × [1/60] = 1/6 hours

(ii) 25 minutes = 25× [1/60] = 5/12 hours

(iii) 36 minutes = 36× [1/60] = 3/5 hours

(iv) 48 minutes = 48× [1/60] = 4/5 hours

(v) 50 minutes = 50× [1/60] = 5/6 hours

3. Convert into minutes:

(i) 5/6 Hour = [5/6] × 60 = 50 minutes

(ii) 8/10 Hour = [8/10] × 60 = 48 minutes

(iii) 4/6 Hour = [4/6] × 60 = 40 minutes

(iv) 5/10 Hour = [5/10] × 60 = 30 minutes

(v) 6/10 Hour = [6/10] × 60 = 36 minutes

4. Match the following:

(i) ½ part of ₹ 1 − ₹ 100

(ii) ¼ part of ₹ 4 − 50 paise

(iii) ½ part of ₹ 10 − ₹ 75

(iv) ¾ part of ₹ 100 − ₹ 1

(v) ½ part of ₹ 200 − ₹ 5

Answer:

(i) ½ part of ₹ 1 − 50 paise

(ii) ¼ part of ₹ 4 − ₹ 1

(iii) ½ part of ₹ 10 − ₹ 5

(iv) ¾ part of ₹ 100 − ₹ 75

(v) ½ part of ₹ 200 − ₹ 100

5. Write the ¼, ½ and ¾ parts of the following:

(i) ₹ 200 = 1/4 × ₹ 200 = ₹ 50

= 1/2 × ₹ 200 = ₹ 100

= 3/4 × ₹ 200 = ₹ 150

(ii) ₹ 10,000 = 1/4 × ₹ 10000 = ₹ 2500

= 1/2 × ₹ 10000 = ₹ 5000

= 3/4 × ₹ 10000 = ₹ 7500

(iii) ₹ 8,000 = 1/4 × ₹ 8000 = ₹ 2000

= 1/2 × ₹8000 = ₹ 4000

= 3/4 × ₹ 8000 = ₹ 6000

(iv) ₹ 24,000 = 1/4 × ₹ 24000 = ₹ 6000

= 1/2 × ₹ 24000 = ₹ 12000

= 3/4 × ₹ 24000 = ₹ 18000

(v) ₹ 50,000 = 1/4 × ₹ 50000 = ₹ 12500

= 1/2 × ₹ 50000 = ₹ 25000

= 3/4 × ₹ 50000 = ₹ 37500

Answer:

Exercise 5.4

1. i) 3 ½Km ii) 250 ¼Km iii) 17 ¾Km iv) 35 ¼Km v) 45 ¾Km

2. (i) 1/10 hours (ii) 5/12 hours (iii) 3/5 hours (iv) 4/5 hours (v) 5/6 hours

3. i) 50 min. ii) 48 min. iii) 40 min. iv) 30 min. v) 36 min.

4. (i) ½ part of ₹ 1 − 50 paise

(ii) ¼ part of ₹ 4 − ₹ 1

(iii) ½ part of ₹ 10 − ₹ 5

(iv) ¾ part of ₹ 100 − ₹ 75

(v) ½ part of ₹ 200 − ₹ 100

5. i) ₹ 50, ₹ 100, ₹ 150 ii) ₹ 2,500, ₹ 5,000, ₹ 7,500 iii) ₹ 2,000, ₹ 4,000, ₹ 6,000 iv) ₹ 6,000, ₹ 12,000, ₹ 18,000 v) ₹ 12,500, ₹ 25,000, ₹ 37,500.