Whakaoti i te (93/7+29/16)-53/7

$$( 9 \frac { 3 } { 7 } + 2 \frac { 9 } { 16 } ) - 5 \frac { 3 } { 7 }$$

Aromātai

$$\frac{105}{16}=6.5625$$

Ngā Upane Otinga

Whakareatia te 9 ki te 7, ka 63.

$$\frac{63+3}{7}+\frac{2\times 16+9}{16}-\frac{5\times 7+3}{7}$$

Tāpirihia te 63 ki te 3, ka 66.

$$\frac{66}{7}+\frac{2\times 16+9}{16}-\frac{5\times 7+3}{7}$$

Whakareatia te 2 ki te 16, ka 32.

$$\frac{66}{7}+\frac{32+9}{16}-\frac{5\times 7+3}{7}$$

Tāpirihia te 32 ki te 9, ka 41.

$$\frac{66}{7}+\frac{41}{16}-\frac{5\times 7+3}{7}$$

Ko te maha noa iti rawa atu o 7 me 16 ko 112. Me tahuri \frac{66}{7} me \frac{41}{16} ki te hautau me te tautūnga 112.

$$\frac{1056}{112}+\frac{287}{112}-\frac{5\times 7+3}{7}$$

Tā te mea he rite te tauraro o \frac{1056}{112} me \frac{287}{112}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{1056+287}{112}-\frac{5\times 7+3}{7}$$

Tāpirihia te 1056 ki te 287, ka 1343.

$$\frac{1343}{112}-\frac{5\times 7+3}{7}$$

Whakareatia te 5 ki te 7, ka 35.

$$\frac{1343}{112}-\frac{35+3}{7}$$

Tāpirihia te 35 ki te 3, ka 38.

$$\frac{1343}{112}-\frac{38}{7}$$

Ko te maha noa iti rawa atu o 112 me 7 ko 112. Me tahuri \frac{1343}{112} me \frac{38}{7} ki te hautau me te tautūnga 112.

$$\frac{1343}{112}-\frac{608}{112}$$

Tā te mea he rite te tauraro o \frac{1343}{112} me \frac{608}{112}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{1343-608}{112}$$

Tangohia te 608 i te 1343, ka 735.

$$\frac{735}{112}$$

Whakahekea te hautanga \frac{735}{112} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 7.

$$\frac{105}{16}$$

Tauwehe

$$\frac{3 \cdot 5 \cdot 7}{2 ^ {4}} = 6\frac{9}{16} = 6.5625$$