Step-by-step explanation:
vii)
[tex]21 \frac{1}{4} \div reciprocal \: of \: 7 \frac{1}{2} [/tex]
[tex] \frac{83}{4} \div reciprocal \: of \: \frac{15}{2} \\ = \frac{83}{4} \div \frac{2}{15} \\ = \frac{83}{4} \times \frac{15}{2} \\ = \frac{1245}{8 } = \boxed{155.625}[/tex]
viii)
[tex]reciprocal \: of \: 8 \frac{1}{7} \div reciprocal \: of \: 40 \frac{5}{6} [/tex]
reci of 57/7 ÷ reci of 245/6
7/57 ÷ 6/245
7/57 × 245/6
1715/342
= 5.0146
[tex]\boxed{\sf{\underline{Question:-01}}}[/tex]
Divide : [tex]\sf{21\dfrac{1}{4}}[/tex] by the reciprocal of [tex]\sf{7\dfrac{1}{2}}[/tex]
Mixed fraction ↔ Improper fraction
Divide [tex]\sf{\dfrac{85}{4}}[/tex] by the reciprocal of [tex]\sf{\dfrac{15}{2}}[/tex]
Solution:- [tex]\sf{\dfrac{85}{4}\:by\:\dfrac{15}{2}=\dfrac{85}{4}\:\times\:\dfrac{2}{15}=\dfrac{170}{60}}[/tex]
Answer = [tex]\sf{\bold{\dfrac{17}{6}\approx2.83}}[/tex]
[tex]\boxed{\sf{\underline{Question:-02}}}[/tex]
Divide : [tex]\sf{8\dfrac{1}{7}}[/tex] by the reciprocal of [tex]\sf{40\dfrac{5}{6}}[/tex]
Divide the reciprocal of [tex]\sf{\dfrac{57}{7}}[/tex] by the reciprocal of [tex]\sf{\dfrac{245}{6}}[/tex]
Solution:- [tex]\sf{\dfrac{7}{57}\:by\:\dfrac{6}{245}=\dfrac{7}{57}\:\times\:\dfrac{245}{6}=\dfrac{1715}{342}}[/tex]
Answer = [tex]\sf{\bold{\dfrac{1715}{342}\approx5.0146}}[/tex]
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Answers & Comments
Step-by-step explanation:
vii)
[tex]21 \frac{1}{4} \div reciprocal \: of \: 7 \frac{1}{2} [/tex]
[tex] \frac{83}{4} \div reciprocal \: of \: \frac{15}{2} \\ = \frac{83}{4} \div \frac{2}{15} \\ = \frac{83}{4} \times \frac{15}{2} \\ = \frac{1245}{8 } = \boxed{155.625}[/tex]
viii)
[tex]reciprocal \: of \: 8 \frac{1}{7} \div reciprocal \: of \: 40 \frac{5}{6} [/tex]
reci of 57/7 ÷ reci of 245/6
7/57 ÷ 6/245
7/57 × 245/6
1715/342
= 5.0146
Verified answer
[tex]\boxed{\sf{\underline{Question:-01}}}[/tex]
Divide : [tex]\sf{21\dfrac{1}{4}}[/tex] by the reciprocal of [tex]\sf{7\dfrac{1}{2}}[/tex]
Mixed fraction ↔ Improper fraction
Divide [tex]\sf{\dfrac{85}{4}}[/tex] by the reciprocal of [tex]\sf{\dfrac{15}{2}}[/tex]
Solution:- [tex]\sf{\dfrac{85}{4}\:by\:\dfrac{15}{2}=\dfrac{85}{4}\:\times\:\dfrac{2}{15}=\dfrac{170}{60}}[/tex]
Answer = [tex]\sf{\bold{\dfrac{17}{6}\approx2.83}}[/tex]
[tex]\boxed{\sf{\underline{Question:-02}}}[/tex]
Divide : [tex]\sf{8\dfrac{1}{7}}[/tex] by the reciprocal of [tex]\sf{40\dfrac{5}{6}}[/tex]
Mixed fraction ↔ Improper fraction
Divide the reciprocal of [tex]\sf{\dfrac{57}{7}}[/tex] by the reciprocal of [tex]\sf{\dfrac{245}{6}}[/tex]
Solution:- [tex]\sf{\dfrac{7}{57}\:by\:\dfrac{6}{245}=\dfrac{7}{57}\:\times\:\dfrac{245}{6}=\dfrac{1715}{342}}[/tex]
Answer = [tex]\sf{\bold{\dfrac{1715}{342}\approx5.0146}}[/tex]