Summary of Expressions Equivalent to ( \frac{1}{4} + \frac{7}{8} )

Part A: Equivalent Expressions
To determine which expressions are equivalent to ( \frac{1}{4} + \frac{7}{8} ), we can analyze the options provided:

• Option 1: ( \frac{2}{8} + \frac{7}{8} )
  This simplifies to ( \frac{9}{8} ), which is not equivalent to ( \frac{1}{4} + \frac{7}{8} ).

• Option 2: ( \frac{4}{16} + \frac{15}{16} )
  This simplifies to ( \frac{19}{16} ), which is also not equivalent to ( \frac{1}{4} + \frac{7}{8} ).

• Option 3: ( \frac{8}{24} + \frac{21}{24} )
  This simplifies to ( \frac{29}{24} ), which is not equivalent.

• Option 4: ( \frac{7}{32} + \frac{28}{32} )
  This simplifies to ( \frac{35}{32} ), which does not match either.

• Option 5: ( \frac{10}{40} + \frac{35}{40} )
  This simplifies to ( \frac{45}{40} ), which is not equal to ( \frac{1}{4} + \frac{7}{8} ).

In conclusion, none of the provided options (2/8+7/8, 4/16+15/16, 8/24+21/24, 7/32+28/32, 10/40+35/40) are equivalent to ( \frac{1}{4} + \frac{7}{8} ).

Part B: Calculation of ( \frac{1}{4} + \frac{7}{8} )
Now, calculating ( \frac{1}{4} + \frac{7}{8} ):

1. The common denominator for these fractions is 8.
2. Rewrite ( \frac{1}{4} ) as ( \frac{2}{8} ).
3. Now add:
   [ \frac{2}{8} + \frac{7}{8} = \frac{9}{8} \text{ or } 1 \frac{1}{8} ]

Given the calculation, the only correct answer is ( 1 \frac{1}{8} ).

Links for Further Reference

1. BYJU'S Equivalent Expressions Calculator
2. Brainly Equivalent Expressions (Sample Problem)
3. SnapXam Equivalent Expressions Calculator
4. Calculatorsoup Equivalent Fractions
5. YouTube Lesson on Equivalent Expressions
6. Online Equivalent Expressions Calculator
7. Brainly Question on Equivalent Expressions

This summary provides both the analysis of expression equivalences and the calculation result for the given fractions.

Sources

Equivalent Expression Calculator - Free online Calculator - BYJU'S[FREE] Choose all of the expressions that are equivalent to \frac{1}{4 ...Equivalent Expressions Calculator & Solver - SnapXamEquivalent Fractions CalculatorEquivalent Expressions and Equations | Grade 7-8 - YouTubeEquivalent Expressions Calculator[FREE] Select all of the expressions that are equivalent to \frac{1}{4 ...

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