Solve 943/8=+271/16+893/4

$$94 \frac { 3 } { 8 } = + 27 \frac { 1 } { 16 } + 89 \frac { 3 } { 4 }$$

Verify

Solution Steps

Multiply both sides of the equation by 16, the least common multiple of 8,16,4.

$$2\left(94\times 8+3\right)=27\times 16+1+4\left(89\times 4+3\right)$$

Multiply 94 and 8 to get 752.

$$2\left(752+3\right)=27\times 16+1+4\left(89\times 4+3\right)$$

Add 752 and 3 to get 755.

$$2\times 755=27\times 16+1+4\left(89\times 4+3\right)$$

Multiply 2 and 755 to get 1510.

$$1510=27\times 16+1+4\left(89\times 4+3\right)$$

Multiply 27 and 16 to get 432.

$$1510=432+1+4\left(89\times 4+3\right)$$

Add 432 and 1 to get 433.

$$1510=433+4\left(89\times 4+3\right)$$

Multiply 89 and 4 to get 356.

$$1510=433+4\left(356+3\right)$$

Add 356 and 3 to get 359.

$$1510=433+4\times 359$$

Multiply 4 and 359 to get 1436.

$$1510=433+1436$$

Add 433 and 1436 to get 1869.

$$1510=1869$$

Compare 1510 and 1869.

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