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16 votes
16 votes
Subtract 3 1/2-2 1/3?​

User Rsteg
by
2.8k points

2 Answers

16 votes
16 votes

Answer:

3 1/2 - 2 1/3 = 7/6 = 1 1/6 ≅ 1.1666667

Explanation:

To find new numerator:

a) Multiply the whole number 3 by the denominator 2. Whole number 3 equally 3 * 2/2 = 6/2

b) Add the answer from previous step 6 to the numerator 1. New numerator is 6 + 1 = 7

c) Write a previous answer (new numerator 7) over the denominator 2.

Three and one half is seven half's

Conversion a mixed number 2 1/3

to a improper fraction: 2 1/3 = 21/3 = 2 · 3 + 1/3 = 6 + 1/3= 7/3

To find new numerator:

a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/3 = 6/3

b) Add the answer from previous step 6 to the numerator 1. New numerator is 6 + 1 = 7

c) Write a previous answer (new numerator 7) over the denominator 3.

Two and one third is seven thirds

Subtract: 7/2 - 7/3 = 7 · 3/2 · 3 - 7 · 2/3 · 2 = 21/6 - 14/6 = 21 - 14/6 = 7/6

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(2, 3) = 6. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 3 = 6. In the next intermediate step, the fraction result cannot be further simplified by canceling.

In words - seven half's minus seven thirds = seven sixths.

User Gemfield
by
2.7k points
6 votes
6 votes

Answer:


1 (1)/(6) = (7)/(6)

Explanation:

3 ½ - 2 ⅓

(3 - 2) + (½ - ⅓)

1 + ⅙

= 1 = /6

User Asa
by
2.2k points