Match the equivalent fractions and write two more for each
250
180
(iv)
(d)
360
220
(e)
180
200
660
5
550
10
990
please help guys
Answers
Step-by-step explanation:
(i) \frac{250}{400}
400
250
HCF of 250 and 400 is 10\times5=5010×5=50
\frac{250\div50}{400\div50}=\frac{5}{8}
400÷50
250÷50
=
8
5
(i) \frac{250}{400}
400
250
- (d) \frac{5}{8}
8
5
Two more fractions are \frac{5\times2}{8\times2}=\frac{10}{16},\ \frac{5\times3}{8\times3}=\frac{15}{24}
8×2
5×2
=
16
10
,
8×3
5×3
=
24
15
(ii) \frac{180}{200}
200
180
HCF of 180 and 200 is 2\times2\times5=202×2×5=20
\frac{180\div20}{200\div20}=\frac{9}{10}
200÷20
180÷20
=
10
9
(ii) \frac{180}{200}
200
180
- (e) \frac{9}{10}
10
9
Two more fractions are: \frac{9\times2}{10\times2}=\frac{18}{20},\ \frac{9\times3}{10\times3}=\frac{27}{30}
10×2
9×2
=
20
18
,
10×3
9×3
=
30
27
(iii) \frac{660}{990}
990
660
HCF of 660 and 990 is 10\times11\times3=33010×11×3=330
\frac{660\div330}{990\div330}=\frac{2}{3}
990÷330
660÷330
=
3
2
(iii) \frac{660}{990}
990
660
- (a) \frac{2}{3}
3
2
Two more fractions are: \frac{2\times10}{3\times10}=\frac{20}{30},\ \frac{2\times11}{3\times11}=\frac{22}{33}
3×10
2×10
=
30
20
,
3×11
2×11
=
33
22
(iv) \frac{180}{360}
360
180
HCF of 180 and 360 is 180
\frac{180\div180}{360\div180}=\frac{1}{2}
360÷180
180÷180
=
2
1
(iv) \frac{180}{360}
360
180
- (c) \frac{1}{2}
2
1
Two more fractions are: \frac{1\times4}{2\times4}=\frac{4}{8},\ \frac{1\times3}{2\times3}=\frac{3}{6}
2×4
1×4
=
8
4
,
2×3
1×3
=
6
3
(v) \frac{220}{550}
550
220
HCF of 220 and 550 is 10\times11=11010×11=110
\frac{220\div110}{550\div110}=\frac{2}{5}
550÷110
220÷110
=
5
2
(v) \frac{220}{550}
550
220
- (b) \frac{2}{5}
5
2
Two more fractions are: \frac{2\times5}{5\times5}=\frac{10}{25},\ \frac{2\times2}{5\times2}=\frac{4}{10}
5×5
2×5
=
25
10
,
5×2
2×2
=
10
4